Prime p₀= 1337202413173011569 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 112 2 64 2 112 2 16 2 (?)
a_n: 0 2 18 20 132 134 198 200 312 314 330 332
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 332
Found by: Odicin
db: batch=77, k=12, 2 16 2 112 2 64

SPT(16)	1337201619659435041	0 78 106 120 142 156 162 208 210 256 262 276 298 312 340 418	-793513576528
SPT(16)	1337201706279726751	0 16 28 46 66 100 126 136 162 172 198 232 252 270 282 298	-706893284818
SPT(16)	1337201865804216053	0 20 104 110 140 146 180 200 210 230 264 270 300 306 390 410	-547368795516
STPT(10)	1337201936741846471	0 2 6 8 18 20 30 32 36 38	-476431165098
TPT(14)	1337202226945056929	0 2 18 20 30 32 78 80 90 92 132 134 228 230	-186227954640
SPT(16)	1337202314986892969	0 2 14 30 42 44 68 84 158 174 198 200 212 228 240 242	-98186118600
SPT(16)	1337202422396296111	0 10 40 78 88 96 102 118 390 406 412 420 430 468 498 508	9223284542
SPT(16)	1337202602047941173	0 24 30 56 74 90 98 114 140 156 164 180 198 224 230 254	188874929604
STPT(10)	1337202602893738307	0 2 24 26 42 44 60 62 84 86	189720726738
SPT(16)	1337202763248127717	0 30 64 76 82 102 120 126 160 166 184 204 210 222 256 286	350075116148
STPT(10)	1337203102326648881	0 2 30 32 78 80 126 128 156 158	689153637312