Prime p₀= 419361424925473571 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 28 2 10 2 28 2 76 2 (?)
a_n: 0 2 6 8 36 38 48 50 78 80 156 158
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: 158
Found by: Theadalus
db: batch=70, k=12, 4 28 10 28 76

SPT(14)	419361358855853041	0 42 46 52 82 90 112 150 172 180 210 216 220 262	-66069620530
SPT(14)	419361360759874957	0 4 124 156 160 180 202 264 286 306 310 342 462 466	-64165598614
SPT(16)	419361401670819577	0 4 6 12 82 102 114 124 162 172 184 204 274 280 282 286	-23254653994
SPT(14)	419361409635038219	0 32 42 48 90 108 140 150 182 200 242 248 258 290	-15290435352
TPT(12)	419361411385661207	0 2 12 14 24 26 222 224 462 464 534 536	-13539812364
SPT(14)	419361411876423607	0 12 100 136 142 154 156 160 162 174 180 216 304 316	-13049049964
SPT(20)	419361436341426169	0 42 48 82 90 100 114 138 180 220 222 262 304 328 342 352 360 394 400 442	11415952598
SPT(14)	419361440310873869	0 32 84 90 92 120 134 138 152 180 182 188 240 272	15385400298
TPT(12)	419361444038790389	0 2 12 14 78 80 90 92 138 140 168 170	19113316818
TPT(12)	419361457313633711	0 2 30 32 60 62 90 92 216 218 246 248	32388160140
SPT(14)	419361462607552219	0 10 28 30 72 102 130 150 178 208 250 252 270 280	37682078648