Prime p₀= 724285561917168677 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 58 2 94 2 58 2 10 2 (?)
a_n: 0 2 24 26 84 86 180 182 240 242 252 254
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: 254
Found by: xii5ku
db: batch=72, k=12, 22 58 94 58 10

TPT(12)	724285160903676371	0 2 108 110 138 140 180 182 198 200 240 242	-401013492306
SPT(16)	724285244809744649	0 12 48 54 78 110 114 132 170 188 192 224 248 254 290 302	-317107424028
TPT(12)	724285256488201817	0 2 12 14 24 26 54 56 90 92 132 134	-305428966860
SPT(16)	724285322654892959	0 32 90 98 132 134 212 254 288 330 408 410 444 452 510 542	-239262275718
STPT(10)	724285508888128697	0 2 42 44 72 74 102 104 144 146	-53029039980
TPT(14)	724285557486197207	0 2 12 14 54 56 90 92 114 116 144 146 180 182	-4430971470
STPT(10)	724285575630213587	0 2 12 14 42 44 72 74 84 86	13713044910
TPT(14)	724285589113397039	0 2 78 80 150 152 210 212 222 224 252 254 318 320	27196228362
SPT(16)	724285601346094153	0 34 46 60 64 90 156 196 234 274 340 366 370 384 396 430	39428925476
STPT(10)	724285604109385817	0 2 90 92 102 104 114 116 204 206	42192217140
TPT(12)	724285680206247191	0 2 60 62 138 140 168 170 180 182 198 200	118289078514