Prime p₀= 339795105690740501 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 28 2 34 2 28 2 22 2 (?)
a_n: 0 2 60 62 90 92 126 128 156 158 180 182
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: 182
Found by: Cruncher Pete
db: batch=70, k=12, 58 28 34 28 22

TPT(12)	339794906951099321	0 2 36 38 96 98 138 140 366 368 390 392	-198739641180
TPT(12)	339794912663022281	0 2 36 38 48 50 90 92 150 152 168 170	-193027718220
SPT(14)	339794950219755257	0 42 50 66 96 240 260 282 302 446 476 492 500 542	-155470985244
TPT(12)	339795029143891247	0 2 42 44 84 86 192 194 234 236 300 302	-76546849254
SPT(14)	339795056456279341	0 10 16 40 58 66 78 88 100 108 126 150 156 166	-49234461160
TPT(12)	339795060162278009	0 2 90 92 102 104 210 212 240 242 300 302	-45528462492
SPT(14)	339795122563068413	0 14 24 26 66 90 120 140 170 194 234 236 246 260	16872327912
SPT(14)	339795132717750791	0 6 8 20 26 42 48 50 56 72 78 90 92 98	27027010290
SPT(14)	339795137404736987	0 30 84 96 114 134 140 156 162 182 200 212 266 296	31713996486
STPT(10)	339795148417294481	0 2 6 8 18 20 30 32 36 38	42726553980
SPT(14)	339795150387482483	0 14 38 56 80 114 134 150 170 204 228 246 270 284	44696741982