Prime p₀= 233681252460324131 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 208 2 28 2 64 2 58 2 10 2 (?)
a_n: 0 2 210 212 240 242 306 308 366 368 378 380
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: 380
Found by: L@MiR
db: batch=69, k=12, 208 28 64 58 10

SPT(14)	233681183771203111	0 12 30 48 58 88 102 166 180 210 220 238 256 268	-68689121020
TPT(12)	233681212484340029	0 2 12 14 48 50 78 80 132 134 138 140	-39975984102
SPT(14)	233681212755152059	0 72 78 84 100 102 118 144 160 162 178 184 190 262	-39705172072
SPT(14)	233681218304646401	0 6 48 66 80 90 120 128 158 168 182 200 242 248	-34155677730
SPT(16)	233681238429498499	0 22 34 78 82 150 210 264 358 412 472 540 544 588 600 622	-14030825632
SPT(14)	233681251808274559	0 28 42 72 84 102 112 150 160 178 190 220 234 262	-652049572
TPT(12)	233681262937364549	0 2 108 110 138 140 150 152 180 182 240 242	10477040418
SPT(14)	233681270668999577	0 14 30 110 156 180 194 282 296 320 366 446 462 476	18208675446
SPT(14)	233681306230176911	0 30 38 56 80 86 126 182 222 228 252 270 278 308	53769852780
SPT(14)	233681331609943883	0 18 24 50 68 86 96 308 318 336 354 380 386 404	79149619752
SPT(14)	233681335598147659	0 10 18 28 52 54 78 94 118 120 144 154 162 172	83137823528