Prime p₀= 1295361810532537259 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 26 34 26 30 70 44 34 44 70 30 26 34 26 24 (?)
a_n: 0 24 50 84 110 140 210 254 288 332 402 432 458 492 518 542
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: 542
Found by: Cruncher Pete
db: batch=77, k=16, 24 26 34 26 30 70 44 34

SPT(16)	1295359705632890717	0 2 30 56 72 114 140 186 290 336 362 404 420 446 474 476	-2104899646542
SPT(16)	1295359729668100787	0 80 110 120 126 140 194 264 272 342 396 410 416 426 456 536	-2080864436472
TPT(14)	1295359766792236961	0 2 60 62 90 92 156 158 168 170 186 188 228 230	-2043740300298
STPT(10)	1295360515190864777	0 2 54 56 72 74 90 92 144 146	-1295341672482
TPT(14)	1295361044872152239	0 2 18 20 90 92 102 104 132 134 210 212 258 260	-765660385020
SPT(16)	1295361507643017277	0 22 52 60 66 94 102 112 144 154 162 190 196 204 234 256	-302889519982
SPT(16)	1295362433768330539	0 22 30 34 100 112 120 124 150 154 162 174 240 244 252 274	623235793280
TPT(14)	1295362689237892127	0 2 30 32 54 56 180 182 210 212 240 242 270 272	878705354868
STPT(10)	1295362765098748361	0 2 30 32 120 122 210 212 240 242	954566211102
SPT(16)	1295363078552297927	0 44 96 110 132 152 162 176 300 314 324 344 366 380 432 476	1268019760668
SPT(16)	1295363252012926373	0 18 50 78 84 158 170 260 264 354 366 440 446 474 506 524	1441480389114