Prime p₀= 419361265356803267 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 28 2 4 2 (?)
a_n: 0 2 24 26 54 56 84 86 114 116 120 122
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: 122
Found by: Theadalus
db: batch=70, k=12, 22 28 28 28 4

SPT(14)	419361204799248643	0 78 120 130 180 198 204 340 346 364 414 424 466 544	-60557554624
SPT(14)	419361230523131569	0 22 58 78 84 100 154 228 282 298 304 324 360 382	-34833671698
TPT(12)	419361233594754389	0 2 42 44 78 80 120 122 162 164 198 200	-31762048878
STPT(10)	419361233594754431	0 2 36 38 78 80 120 122 156 158	-31762048836
SPT(14)	419361259020407159	0 14 44 68 108 110 150 212 252 254 294 318 348 362	-6336396108
SPT(14)	419361259381457831	0 12 20 50 92 110 132 188 210 228 270 300 308 320	-5975345436
SPT(14)	419361282418818709	0 22 34 54 78 112 120 202 210 244 268 288 300 322	17062015442
SPT(14)	419361286005527609	0 30 42 78 102 108 182 228 302 308 332 368 380 410	20648724342
SPT(14)	419361286257417349	0 10 42 70 84 108 118 174 184 208 222 250 282 292	20900614082
STPT(10)	419361343412081141	0 2 36 38 78 80 120 122 156 158	78055277874
SPT(14)	419361358855853041	0 42 46 52 82 90 112 150 172 180 210 216 220 262	93499049774