Prime p₀= 993351576680270387 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
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: 86
Found by: Theadalus
db: batch=76, k=12, 2 22 2 4 2 22

TPT(14)	993350612886275801	0 2 66 68 108 110 120 122 126 128 150 152 288 290	-963793994586
STPT(10)	993350908585573007	0 2 30 32 42 44 54 56 84 86	-668094697380
TPT(14)	993350950541158421	0 2 60 62 78 80 168 170 198 200 216 218 240 242	-626139111966
STPT(10)	993351073232398589	0 2 42 44 60 62 78 80 120 122	-503447871798
SPT(16)	993351227302612567	0 112 114 124 162 190 210 246 250 286 306 334 372 382 384 496	-349377657820
STPT(10)	993351561804965159	0 2 18 20 30 32 42 44 60 62	-14875305228
SPT(16)	993351805734742229	0 20 42 48 152 168 210 224 228 242 284 300 404 410 432 452	229054471842
STPT(10)	993352210940644727	0 2 42 44 72 74 102 104 144 146	634260374340
SPT(16)	993352318474132663	0 18 46 78 106 118 144 166 168 190 216 228 256 288 316 334	741793862276
STPT(10)	993352338242392097	0 2 12 14 72 74 132 134 144 146	761562121710
SPT(16)	993352627773095813	0 80 98 138 146 156 174 230 234 290 308 318 326 366 384 464	1051092825426