Prime p₀= 2767555199942898569 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 76 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 120 122 150 152 162 164
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: JayPi
db: batch=82, k=12, 2 10 2 28 2 76

SPT(16)	2767554597434289049	0 10 22 90 160 168 184 214 258 288 304 312 382 450 462 472	-602508609520
SPT(16)	2767554707387094029	0 38 48 54 74 80 98 104 108 114 132 138 158 164 174 212	-492555804540
TPT(14)	2767555008253947797	0 2 84 86 132 134 174 176 270 272 354 356 384 386	-191688950772
SPT(16)	2767555023966586099	0 4 12 22 60 82 94 130 162 198 210 232 270 280 288 292	-175976312470
SPT(16)	2767555054055977621	0 10 18 30 36 66 72 76 102 106 112 142 148 160 168 178	-145886920948
SPT(16)	2767555179269288783	0 8 30 44 68 84 104 110 198 204 224 240 264 278 300 308	-20673609786
TPT(14)	2767555199942898569	0 2 12 14 42 44 120 122 150 152 162 164 222 224	0
SPT(16)	2767555297553437481	0 18 56 72 128 140 150 158 180 188 198 210 266 282 320 338	97610538912
SPT(16)	2767555307507868613	0 10 36 40 66 84 124 136 138 150 190 208 234 238 264 274	107564970044
TPT(14)	2767555365685336349	0 2 30 32 90 92 102 104 168 170 210 212 222 224	165742437780
STPT(12)	2767555435725538697	0 2 42 44 72 74 150 152 180 182 222 224	235782640128