Prime p₀= 341674537530790601 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 196 2 10 2 46 2 40 2 4 2 (?)
a_n: 0 2 198 200 210 212 258 260 300 302 306 308
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: 308
Found by: Cruncher Pete
db: batch=70, k=12, 196 10 46 40 4

SPT(14)	341674497743745653	0 6 36 78 86 90 110 114 134 138 146 188 218 224	-39787044948
TPT(12)	341674499444189621	0 2 6 8 66 68 78 80 90 92 150 152	-38086600980
STPT(10)	341674499444189627	0 2 60 62 72 74 84 86 144 146	-38086600974
SPT(14)	341674507098822239	0 12 18 84 122 132 144 188 200 210 248 314 320 332	-30431968362
SPT(16)	341674521248140243	0 18 30 34 48 70 88 120 184 216 234 256 270 274 286 304	-16282650358
SPT(14)	341674525244181341	0 6 20 56 60 72 90 98 116 128 132 168 182 188	-12286609260
STPT(10)	341674538373897011	0 2 6 8 48 50 90 92 96 98	843106410
SPT(14)	341674558725589237	0 4 16 54 64 114 120 130 136 186 196 234 246 250	21194798636
SPT(14)	341674569155632019	0 24 80 90 104 114 132 140 158 168 182 192 248 272	31624841418
SPT(14)	341674576323991247	0 12 24 42 150 152 176 210 234 236 344 362 374 386	38793200646
SPT(14)	341674581113987507	0 24 60 84 150 182 200 204 222 254 320 344 380 404	43583196906