Prime p₀= 1021137585951762109 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 24 30 14 10 62 30 22 30 62 10 14 30 24 10 (?)
a_n: 0 10 34 64 78 88 150 180 202 232 294 304 318 348 372 382
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: 382
Found by: Theadalus
db: batch=76, k=16, 10 24 30 14 10 62 30 22

SPT(16)	1021135539145722911	0 18 32 80 96 176 218 240 248 270 312 392 408 456 470 488	-2046806039198
STPT(10)	1021136453123199701	0 2 36 38 78 80 120 122 156 158	-1132828562408
SPT(16)	1021136516171741821	0 12 46 70 106 112 118 126 172 180 186 192 228 252 286 298	-1069780020288
SPT(16)	1021136552589888677	0 12 20 62 74 116 134 150 176 192 210 252 264 306 314 326	-1033361873432
STPT(10)	1021136582125250411	0 2 6 8 18 20 30 32 36 38	-1003826511698
STPT(10)	1021137052179150857	0 2 30 32 42 44 54 56 84 86	-533772611252
SPT(16)	1021137854112389159	0 24 44 72 80 102 158 188 234 264 320 342 350 378 398 422	268160627050
STPT(10)	1021137897353842349	0 2 12 14 90 92 168 170 180 182	311402080240
STPT(10)	1021138353711928757	0 2 30 32 42 44 54 56 84 86	767760166648
SPT(16)	1021138362556858969	0 22 90 100 118 148 202 258 274 330 384 414 432 442 510 532	776605096860
SPT(16)	1021138439984380027	0 4 22 34 46 72 120 142 204 226 274 300 312 324 342 346	854032617918