Prime p₀= 2330478950495244797 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: vinn@[CNT]
db: batch=81, k=12, 2 22 2 28 2 64

STPT(10)	2330476249931605967	0 2 42 44 102 104 162 164 204 206	-2700563638830
SPT(16)	2330477498619139477	0 12 100 114 124 130 144 226 240 322 336 342 352 366 454 466	-1451876105320
STPT(10)	2330477583828964481	0 2 6 8 18 20 30 32 36 38	-1366666280316
SPT(16)	2330477803166233471	0 10 60 72 130 132 178 190 240 252 298 300 358 370 420 430	-1147329011326
STPT(10)	2330478656821294907	0 2 30 32 72 74 114 116 144 146	-293673949890
SPT(16)	2330478709673848807	0 34 52 106 120 126 150 156 160 166 190 196 210 264 282 316	-240821395990
SPT(16)	2330479171018505687	0 26 32 74 90 126 162 230 306 374 410 446 462 504 510 536	220523260890
SPT(16)	2330479248397180253	0 14 38 80 84 114 120 126 158 164 170 200 204 246 270 284	297901935456
SPT(16)	2330479420696305961	0 10 18 40 60 70 90 136 162 208 228 238 258 280 288 298	470201061164
SPT(16)	2330480202471055373	0 60 68 78 98 114 200 224 300 324 410 426 446 456 464 524	1251975810576
STPT(10)	2330480326706270267	0 2 12 14 42 44 72 74 84 86	1376211025470