Prime p₀= 3213034581377742941 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 58 2 10 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 150 152 210 212 288 290
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: 290
Found by: Hightower
db: batch=83, k=12, 2 76 2 58 2 10

TPT(14)	3213033010445686817	0 2 54 56 72 74 114 116 174 176 180 182 312 314	-1570932056124
SPT(16)	3213033445741793291	0 8 36 38 50 60 66 78 128 140 146 156 168 170 198 206	-1135635949650
STPT(10)	3213033468838268357	0 2 42 44 72 74 102 104 144 146	-1112539474584
STPT(10)	3213033507465990797	0 2 30 32 42 44 54 56 84 86	-1073911752144
SPT(16)	3213034381920187217	0 24 30 32 42 44 66 126 320 380 402 404 414 416 422 446	-199457555724
SPT(16)	3213034490035104961	0 18 46 70 102 142 160 178 210 228 246 286 318 342 370 388	-91342637980
STPT(10)	3213034786292207879	0 2 30 32 60 62 90 92 120 122	204914464938
SPT(16)	3213034897315432949	0 48 134 170 174 182 194 240 242 288 300 308 312 348 434 482	315937690008
SPT(16)	3213035096913357109	0 34 52 70 94 102 108 114 148 154 160 168 192 210 228 262	515535614168
SPT(16)	3213035180441864381	0 6 18 36 42 50 90 120 128 158 198 206 212 230 242 248	599064121440
SPT(16)	3213035852033963393	0 8 50 54 84 128 138 140 168 170 180 224 254 258 300 308	1270656220452