Prime p₀= 2514053662590543809 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 36 18 4 42 36 20 22 20 36 42 4 18 36 14 (?)
a_n: 0 14 50 68 72 114 150 170 192 212 248 290 294 312 348 362
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: 362
Found by: eclipse99
db: batch=82, k=16, 14 36 18 4 42 36 20 22

SPT(16)	2514051603437944147	0 42 76 112 130 160 190 196 246 252 282 312 330 366 400 442	-2059152599662
SPT(16)	2514051662579244451	0 16 30 42 46 72 132 186 196 250 310 336 340 352 366 382	-2000011299358
SPT(16)	2514052646423685517	0 40 64 66 72 112 124 132 184 192 204 244 250 252 276 316	-1016166858292
STPT(10)	2514052646915156099	0 2 18 20 30 32 42 44 60 62	-1015675387710
STPT(10)	2514052820176699187	0 2 12 14 42 44 72 74 84 86	-842413844622
SPT(16)	2514053082649486981	0 12 30 52 70 72 102 148 312 358 388 390 408 430 448 460	-579941056828
SPT(16)	2514053688851242781	0 18 50 78 110 140 152 182 228 258 270 300 332 360 392 410	26260698972
SPT(16)	2514053740685958431	0 6 42 78 80 90 108 120 188 200 218 228 230 266 302 308	78095414622
STPT(10)	2514054406432277879	0 2 42 44 60 62 78 80 120 122	743841734070
SPT(16)	2514054507304775191	0 22 30 40 60 106 126 130 138 142 162 208 228 238 246 268	844714231382
SPT(16)	2514054618445420471	0 12 16 36 40 58 82 88 120 126 150 168 172 192 196 208	955854876662