Prime p₀= 2871429240433998623 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 38 30 18 34 48 30 12 78 8 78 12 30 48 34 18 30 38 (?)
a_n: 0 38 68 86 120 168 198 210 288 296 374 386 416 464 498 516 546 584
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 584
Found by: Roadranner
db: batch=82, k=18, 38 30 18 34 48 30 12 78 8

SPT(16)	2871428893234011667	0 40 60 82 126 186 216 232 270 286 316 376 420 442 462 502	-347199986956
TPT(14)	2871428917136739731	0 2 30 32 120 122 126 128 228 230 258 260 270 272	-323297258892
SPT(16)	2871428992869737077	0 4 10 16 24 40 46 66 100 120 126 142 150 156 162 166	-247564261546
SPT(16)	2871429008647209029	0 18 24 50 68 90 108 110 132 134 152 174 192 218 224 242	-231786789594
SPT(16)	2871429059152226681	0 6 8 38 42 78 80 98 120 138 140 176 180 210 212 218	-181281771942
SPT(16)	2871429093366748169	0 2 30 62 80 150 164 188 234 258 272 342 360 392 420 422	-147067250454
STPT(10)	2871429513595802837	0 2 30 32 42 44 54 56 84 86	273161804214
SPT(16)	2871430000975331069	0 32 44 120 138 140 150 158 204 212 222 224 242 318 330 362	760541332446
SPT(16)	2871430252058705243	0 36 86 98 128 168 176 186 338 348 356 396 426 438 488 524	1011624706620
SPT(16)	2871430287690935027	0 2 36 66 72 114 116 120 206 210 212 254 260 290 324 326	1047256936404
SPT(16)	2871431762139324599	0 12 20 42 68 90 102 120 122 140 152 174 200 222 230 242	2521705325976