Prime p₀= 1115211176742257123 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 34 12 8 22 14 52 2 52 14 22 8 12 34 14 (?)
a_n: 0 14 48 60 68 90 104 156 158 210 224 246 254 266 300 314
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: 314
Found by: stoneageman
db: batch=76, k=16, 14 34 12 8 22 14 52 2

STPT(10)	1115210385442434641	0 2 6 8 48 50 90 92 96 98	-791299822482
STPT(10)	1115210475486355877	0 2 30 32 72 74 114 116 144 146	-701255901246
SPT(16)	1115210623562462347	0 4 6 42 46 70 82 142 144 204 216 240 244 280 282 286	-553179794776
SPT(16)	1115210739694639069	0 4 10 30 60 94 114 144 208 238 258 292 322 342 348 352	-437047618054
TPT(14)	1115210744533423631	0 2 18 20 36 38 120 122 168 170 198 200 228 230	-432208833492
SPT(16)	1115211042996899383	0 10 30 64 106 108 156 174 220 238 286 288 330 364 384 394	-133745357740
STPT(10)	1115211453180289637	0 2 12 14 42 44 72 74 84 86	276438032514
TPT(14)	1115211560894939657	0 2 42 44 90 92 114 116 144 146 282 284 312 314	384152682534
SPT(16)	1115211655587780259	0 124 190 234 270 322 342 370 432 460 480 532 568 612 678 802	478845523136
SPT(16)	1115211693421126261	0 16 28 52 60 132 136 178 210 252 256 328 336 360 372 388	516678869138
SPT(16)	1115211969451487639	0 12 62 68 90 98 140 168 242 270 312 320 342 348 398 410	792709230516