Prime p₀= 578526647076197669 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 4 2 28 2 28 2 22 2 (?)
a_n: 0 2 42 44 48 50 78 80 108 110 132 134
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: 134
Found by: mcf2020
db: batch=71, k=12, 40 4 28 28 22

SPT(14)	578526491009697487	0 22 36 46 52 60 70 186 196 204 210 220 234 256	-156066500182
SPT(14)	578526574477749823	0 16 18 46 76 136 144 160 168 228 258 286 288 304	-72598447846
SPT(14)	578526596903193199	0 10 72 78 100 108 114 238 244 252 274 280 342 352	-50173004470
SPT(14)	578526601665805393	0 16 24 40 46 60 84 100 124 138 144 160 168 184	-45410392276
SPT(14)	578526619867327277	0 24 66 146 170 182 222 224 264 276 300 380 422 446	-27208870392
SPT(14)	578526642523852993	0 54 88 90 94 130 148 150 168 204 208 210 244 298	-4552344676
SPT(14)	578526673568979341	0 12 48 78 86 92 128 180 216 222 230 260 296 308	26492781672
STPT(10)	578526674614975811	0 2 6 8 48 50 90 92 96 98	27538778142
SPT(14)	578526678174138569	0 2 44 50 102 140 152 252 264 302 354 360 402 404	31097940900
SPT(14)	578526679997727481	0 12 28 48 100 102 126 172 196 198 250 270 286 298	32921529812
SPT(14)	578526688414147171	0 6 12 28 40 102 132 136 166 228 240 256 262 268	41337949502