Prime p₀= 2823688505071979249 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 54 6 24 30 6 6 30 24 6 54 24 (?)
a_n: 0 24 78 84 108 138 144 150 180 204 210 264 288
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 288
Found by: [SG-FC] hl
db: batch=82, k=13, 24 54 6 24 30 6

SPT(13)	2823687504304795651	0 48 78 120 132 138 150 162 168 180 222 252 300	-1000767183598
STPT(10)	2823687599493789557	0 2 42 44 72 74 102 104 144 146	-905578189692
SPT(16)	2823687856943612539	0 48 90 100 108 112 168 174 238 244 300 304 312 322 364 412	-648128366710
STPT(10)	2823688085365187861	0 2 6 8 18 20 30 32 36 38	-419706791388
SPT(16)	2823688381515541669	0 12 70 84 94 154 180 204 208 232 258 318 328 342 400 412	-123556437580
SPT(16)	2823688433737211093	0 20 60 78 96 126 140 170 186 216 230 260 278 296 336 356	-71334768156
SPT(16)	2823688661567117699	0 18 68 84 98 138 150 158 174 182 194 234 248 264 314 332	156495138450
SPT(16)	2823688847775525439	0 30 34 52 54 72 94 100 132 138 160 178 180 198 202 232	342703546190
TPT(16)	2823689076740761109	0 2 60 62 108 110 150 152 180 182 210 212 270 272 312 314	571668781860
SPT(16)	2823689207827488941	0 6 20 66 78 128 146 168 260 282 300 350 362 408 422 428	702755509692
SPT(16)	2823689302489659937	0 22 46 102 144 154 190 232 264 306 342 352 394 450 474 496	797417680688