Prime p₀= 3679927162537506971 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 68 28 2 4 14 60 76 60 14 4 2 28 68 30 (?)
a_n: 0 30 98 126 128 132 146 206 282 342 356 360 362 390 458 488
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: 488
Found by: [SG]KidDoesCrunch
db: batch=84, k=16, 30 68 28 2 4 14 60 76

STPT(10)	3679924773595962251	0 2 6 8 48 50 90 92 96 98	-2388941544720
SPT(16)	3679925236327475671	0 42 46 106 112 172 180 250 372 442 450 510 516 576 580 622	-1926210031300
SPT(22)	3679925707617846839	0 8 14 50 54 78 80 92 98 102 104 138 140 144 150 162 164 188 192 228 234 242	-1454919660132
STPT(10)	3679926577199592677	0 2 42 44 72 74 102 104 144 146	-585337914294
STPT(10)	3679926610806797621	0 2 6 8 48 50 90 92 96 98	-551730709350
STPT(10)	3679926798898771229	0 2 48 50 90 92 132 134 180 182	-363638735742
STPT(10)	3679927475856896321	0 2 36 38 78 80 120 122 156 158	313319389350
SPT(16)	3679927644287944789	0 24 48 64 90 94 108 148 180 220 234 238 264 280 304 328	481750437818
SPT(16)	3679928170780086209	0 14 98 110 134 144 168 180 182 194 218 228 252 264 348 362	1008242579238
STPT(10)	3679928489846287997	0 2 84 86 132 134 180 182 264 266	1327308781026
SPT(16)	3679929470957467187	0 12 26 42 50 92 102 120 206 224 234 276 284 300 314 326	2308419960216