Prime p₀= 551674986941670377 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 40 2 34 2 10 2 (?)
a_n: 0 2 30 32 42 44 84 86 120 122 132 134
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: fake
db: batch=71, k=12, 28 10 40 34 10

SPT(14)	551674934565907937	0 2 26 56 74 80 126 140 186 192 210 240 264 266	-52375762440
SPT(14)	551674935011568917	0 54 72 120 150 170 182 372 384 404 434 482 500 554	-51930101460
SPT(20)	551674942795018873	0 34 88 94 130 136 160 238 246 270 364 388 396 474 498 504 540 546 600 634	-44146651504
TPT(12)	551674970721438587	0 2 84 86 210 212 282 284 324 326 342 344	-16220231790
SPT(14)	551674982249914993	0 16 18 96 106 130 156 178 204 228 238 316 318 334	-4691755384
SPT(14)	551674986918139339	0 52 54 82 90 112 124 150 162 184 192 220 222 274	-23531038
SPT(14)	551674987644965111	0 12 30 42 56 78 110 198 230 252 266 278 296 308	703294734
TPT(12)	551674990189533149	0 2 18 20 78 80 120 122 162 164 252 254	3247862772
SPT(14)	551674994746063189	0 18 28 42 60 78 82 108 112 130 148 162 172 190	7804392812
SPT(14)	551675008677617299	0 4 40 48 60 72 82 90 100 112 124 132 168 172	21735946922
SPT(14)	551675018117963249	0 30 32 38 44 68 90 122 144 168 174 180 182 212	31176292872