Prime p₀= 83631684474285551 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 118 2 40 2 76 2 22 2 (?)
a_n: 0 2 6 8 126 128 168 170 246 248 270 272
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: 272
Found by: nenym
db: batch=67, k=12, 4 118 40 76 22

TPT(12)	83631622001766581	0 2 30 32 78 80 96 98 156 158 210 212	-62472518970
STPT(10)	83631638359236167	0 2 54 56 72 74 90 92 144 146	-46115049384
SPT(14)	83631649569892771	0 18 48 58 70 72 132 226 286 288 300 310 340 358	-34904392780
SPT(14)	83631651155830969	0 24 34 42 88 94 102 220 228 234 280 288 298 322	-33318454582
SPT(14)	83631660667211791	0 40 58 72 78 180 190 198 208 310 316 330 348 388	-23807073760
SPT(14)	83631682160530109	0 12 20 48 50 68 90 92 114 132 134 162 170 182	-2313755442
SPT(14)	83631688334148067	0 12 22 40 112 136 142 150 156 180 252 270 280 292	3859862516
SPT(14)	83631693173720423	0 8 20 30 56 78 86 90 98 120 146 156 168 176	8699434872
SPT(14)	83631693434582687	0 14 30 42 44 56 92 114 150 162 164 176 192 206	8960297136
SPT(14)	83631725646896873	0 6 24 56 84 116 120 164 168 200 228 260 278 284	41172611322
SPT(14)	83631737936115311	0 8 18 38 42 50 60 98 108 116 120 140 150 158	53461829760