Prime p₀= 2238993421020067469 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: Orange Kid
db: batch=81, k=12, 2 28 2 28 2 40

STPT(10)	2238991973061161567	0 2 12 14 42 44 72 74 84 86	-1447958905902
SPT(16)	2238992181700246387	0 6 34 94 106 126 154 160 186 192 220 240 252 312 340 346	-1239319821082
SPT(16)	2238992494536932933	0 38 50 56 66 96 110 170 234 294 308 338 348 354 366 404	-926483134536
SPT(16)	2238992546177849299	0 4 24 28 34 60 70 82 90 102 112 138 144 148 168 172	-874842218170
SPT(18)	2238992971303484603	0 20 26 50 56 78 84 86 96 128 138 140 146 168 174 198 204 224	-449716582866
STPT(10)	2238993113836448939	0 2 12 14 30 32 48 50 60 62	-307183618530
STPT(10)	2238993440723089847	0 2 30 32 42 44 54 56 84 86	19703022378
SPT(16)	2238993628549161521	0 50 66 146 162 182 200 218 300 318 336 356 372 452 468 518	207529094052
SPT(16)	2238993880985004313	0 48 66 126 186 258 280 310 354 384 406 478 538 598 616 664	459964936844
SPT(16)	2238994169000462459	0 32 48 60 62 92 98 104 258 264 270 300 302 314 330 362	747980394990
SPT(16)	2238994531452969077	0 2 14 20 42 90 132 140 144 152 194 242 264 270 282 284	1110432901608