Prime p₀= 511972262321316131 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 94 2 10 2 16 2 22 2 16 2 (?)
a_n: 0 2 96 98 108 110 126 128 150 152 168 170
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: 170
Found by: scrap
db: batch=71, k=12, 94 10 16 22 16

TPT(12)	511972185682374941	0 2 18 20 30 32 60 62 198 200 276 278	-76638941190
SPT(14)	511972215493166033	0 6 86 90 110 144 156 158 170 204 224 228 308 314	-46828150098
SPT(14)	511972222659948287	0 12 24 44 66 102 222 284 404 440 462 482 494 506	-39661367844
TPT(14)	511972240388978009	0 2 60 62 102 104 198 200 210 212 222 224 240 242	-21932338122
SPT(14)	511972241919839287	0 4 60 90 100 114 124 132 142 156 166 196 252 256	-20401476844
TPT(12)	511972252004949581	0 2 30 32 60 62 108 110 378 380 390 392	-10316366550
TPT(12)	511972270173429731	0 2 30 32 66 68 180 182 210 212 240 242	7852113600
SPT(14)	511972323130828997	0 6 90 104 110 126 132 254 260 276 282 296 380 386	60809512866
TPT(12)	511972336960356689	0 2 30 32 42 44 72 74 102 104 138 140	74639040558
SPT(14)	511972340717066431	0 10 28 52 90 112 166 222 276 298 336 360 378 388	78395750300
SPT(14)	511972341521090833	0 10 48 54 60 66 94 120 148 154 160 166 204 214	79199774702