Prime p₀= 2013618026494207271 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 8 6 64 8 34 20 94 20 34 8 64 6 8 12 (?)
a_n: 0 12 20 26 90 98 132 152 246 266 300 308 372 378 386 398
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: 398
Found by: Ben
db: batch=80, k=16, 12 8 6 64 8 34 20 94

SPT(16)	2013617373598877539	0 30 34 42 94 108 124 132 160 168 184 198 250 258 262 292	-652895329732
TPT(14)	2013617404255728251	0 2 66 68 156 158 168 170 456 458 516 518 528 530	-622238479020
SPT(16)	2013617639223815221	0 48 108 130 132 150 156 190 198 232 238 256 258 280 340 388	-387270392050
STPT(10)	2013617703792860981	0 2 6 8 48 50 90 92 96 98	-322701346290
TPT(14)	2013617870553605507	0 2 162 164 204 206 252 254 270 272 300 302 330 332	-155940601764
SPT(16)	2013617873385502693	0 24 36 46 70 96 106 156 178 228 238 264 288 298 310 334	-153108704578
STPT(10)	2013618644364706187	0 2 12 14 42 44 72 74 84 86	617870498916
SPT(16)	2013618905215783807	0 42 54 76 96 102 130 142 144 156 184 190 210 232 244 286	878721576536
STPT(10)	2013619229741009117	0 2 54 56 132 134 210 212 264 266	1203246801846
STPT(10)	2013619318804282961	0 2 30 32 78 80 126 128 156 158	1292310075690
SPT(16)	2013619549711655059	0 48 58 70 198 258 270 292 300 322 334 394 522 534 544 592	1523217447788