Prime p₀= 2970694200891312661 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 44 6 28 42 12 8 22 8 12 42 28 6 44 28 (?)
a_n: 0 28 72 78 106 148 160 168 190 198 210 252 280 286 330 358
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 358
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 28 44 6 28 42 12 8 22

SPT(16)	2970693073898807351	0 12 20 42 50 156 176 188 240 252 272 378 386 408 416 428	-1126992505310
TPT(14)	2970693502228893209	0 2 60 62 72 74 192 194 228 230 378 380 420 422	-698662419452
SPT(16)	2970693537797377123	0 4 28 36 58 64 114 120 124 130 180 186 208 216 240 244	-663093935538
STPT(12)	2970693798505454807	0 2 42 44 60 62 102 104 120 122 162 164	-402385857854
STPT(10)	2970693876806413727	0 2 30 32 72 74 114 116 144 146	-324084898934
SPT(16)	2970694140607195489	0 40 82 90 138 154 174 180 232 238 258 274 322 330 372 412	-60284117172
SPT(16)	2970694212221091569	0 12 20 44 110 122 140 152 192 204 222 234 300 324 332 344	11329778908
SPT(16)	2970694266919795589	0 8 68 78 132 134 138 192 260 314 318 320 374 384 444 452	66028482928
SPT(16)	2970694360376688089	0 8 42 50 84 110 128 198 224 294 312 338 372 380 414 422	159485375428
SPT(16)	2970694703628656429	0 12 38 42 54 80 104 110 132 138 162 188 200 204 230 242	502737343768
SPT(16)	2970694711152880991	0 38 42 80 86 122 158 192 206 240 276 312 318 356 360 398	510261568330