Prime p₀= 527642427873125021 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 124 2 28 2 130 2 16 2 (?)
a_n: 0 2 90 92 216 218 246 248 378 380 396 398
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: 398
Found by: gemini8
db: batch=71, k=12, 88 124 28 130 16

SPT(14)	527642268511536281	0 12 42 90 110 132 258 362 488 510 530 578 608 620	-159361588740
STPT(10)	527642329533880541	0 2 36 38 78 80 120 122 156 158	-98339244480
SPT(14)	527642364255945137	0 6 24 42 80 92 140 216 264 276 314 332 350 356	-63617179884
SPT(14)	527642372677381261	0 10 28 60 72 76 156 172 252 256 268 300 318 328	-55195743760
TPT(12)	527642376579655079	0 2 30 32 78 80 108 110 138 140 210 212	-51293469942
SPT(14)	527642378866710461	0 32 72 78 90 92 128 132 168 170 182 188 228 260	-49006414560
SPT(14)	527642456524256453	0 84 144 158 164 240 248 276 284 360 366 380 440 524	28651131432
SPT(14)	527642469999812729	0 24 38 50 60 74 90 242 258 272 282 294 308 332	42126687708
TPT(12)	527642487962978249	0 2 12 14 168 170 210 212 240 242 288 290	60089853228
SPT(16)	527642517096152233	0 6 10 48 100 114 168 220 234 286 340 354 406 444 448 454	89223027212
SPT(14)	527642525812515229	0 28 70 100 102 132 142 198 208 238 240 270 312 340	97939390208