Prime p₀= 2328296576154331997 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 46 2 22 2 46 2 10 2 (?)
a_n: 0 2 12 14 60 62 84 86 132 134 144 146
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: 146
Found by: Chaunton
db: batch=81, k=12, 2 10 2 46 2 22

SPT(16)	2328293893940110469	0 8 62 72 92 98 120 150 272 302 324 330 350 360 414 422	-2682214221528
STPT(10)	2328293896417249307	0 2 30 32 42 44 54 56 84 86	-2679737082690
STPT(10)	2328293932725353141	0 2 6 8 48 50 90 92 96 98	-2643428978856
SPT(16)	2328294101194956079	0 22 30 40 42 52 70 82 108 120 138 148 150 160 168 190	-2474959375918
SPT(16)	2328295225948129897	0 4 40 60 64 70 82 96 130 144 156 162 166 186 222 226	-1350206202100
STPT(12)	2328295564951646999	0 2 78 80 90 92 120 122 132 134 210 212	-1011202684998
SPT(16)	2328296629899680611	0 12 36 40 190 208 210 252 316 358 360 378 528 532 556 568	53745348614
STPT(10)	2328296859353433557	0 2 30 32 42 44 54 56 84 86	283199101560
STPT(10)	2328297125125205321	0 2 6 8 48 50 90 92 96 98	548970873324
STPT(10)	2328297297833431019	0 2 18 20 30 32 42 44 60 62	721679099022
SPT(16)	2328297343349990827	0 6 52 64 66 100 112 136 390 414 426 460 462 474 520 526	767195658830