Prime p₀= 2697014246118228347 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 28 2 64 2 28 2 22 2 (?)
a_n: 0 2 24 26 54 56 120 122 150 152 174 176
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: 176
Found by: biodoc
db: batch=82, k=12, 2 22 2 28 2 64

SPT(16)	2697012772841771479	0 12 28 42 102 118 120 132 160 172 174 190 250 264 280 292	-1473276456868
SPT(16)	2697012910092809747	0 20 36 50 116 164 182 186 290 294 312 360 426 440 456 476	-1336025418600
SPT(16)	2697013093383015973	0 16 60 114 184 216 250 304 426 480 514 546 616 670 714 730	-1152735212374
TPT(14)	2697013576706028689	0 2 18 20 90 92 102 104 168 170 180 182 258 260	-669412199658
STPT(10)	2697013657607064251	0 2 30 32 78 80 126 128 156 158	-588511164096
STPT(12)	2697013974974282081	0 2 18 20 60 62 96 98 138 140 156 158	-271143946266
TPT(14)	2697014698983956927	0 2 102 104 114 116 144 146 162 164 174 176 210 212	452865728580
SPT(16)	2697014870774358331	0 18 42 66 70 112 138 190 228 280 306 348 352 376 400 418	624656129984
TPT(14)	2697016049648703617	0 2 42 44 72 74 90 92 132 134 174 176 240 242	1803530475270
STPT(10)	2697016392767268191	0 2 6 8 48 50 90 92 96 98	2146649039844
SPT(16)	2697017074944153457	0 30 40 42 60 82 90 112 144 166 174 196 214 216 226 256	2828825925110