Prime p₀= 584478305872617887 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 94 2 112 2 16 2 10 2 (?)
a_n: 0 2 24 26 120 122 234 236 252 254 264 266
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: 266
Found by: Alnitak2019
db: batch=71, k=12, 22 94 112 16 10

SPT(16)	584478224878635119	0 14 68 84 102 120 170 200 282 312 362 380 398 414 468 482	-80993982768
SPT(14)	584478228335989261	0 10 58 60 72 82 102 106 126 136 148 150 198 208	-77536628626
SPT(14)	584478235766440219	0 42 72 84 94 120 184 198 262 288 298 310 340 382	-70106177668
SPT(16)	584478240065960803	0 6 36 76 90 106 118 120 286 288 300 316 330 370 400 406	-65806657084
TPT(12)	584478255760111157	0 2 12 14 30 32 42 44 90 92 102 104	-50112506730
SPT(14)	584478281997494953	0 34 54 78 96 106 144 190 228 238 256 280 300 334	-23875122934
SPT(14)	584478326290168889	0 12 42 60 68 98 120 122 144 174 182 200 230 242	20417551002
SPT(16)	584478354711682273	0 10 64 76 154 178 190 208 276 294 306 330 408 420 474 484	48839064386
SPT(16)	584478385191911767	0 12 30 34 64 90 126 130 156 160 196 222 252 256 274 286	79319293880
SPT(14)	584478418668162779	0 14 48 50 62 78 80 192 194 210 222 224 258 272	112795544892
TPT(12)	584478427641533651	0 2 18 20 78 80 156 158 198 200 246 248	121768915764