Prime p₀= 285810241139761157 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 22 2 64 2 88 2 40 2 (?)
a_n: 0 2 30 32 54 56 120 122 210 212 252 254
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: 254
Found by: arkiss
db: batch=69, k=12, 28 22 64 88 40

SPT(14)	285810186881925193	0 46 60 70 76 108 118 138 148 180 186 196 210 256	-54257835964
SPT(14)	285810205962504107	0 54 114 156 170 174 264 266 356 360 374 416 476 530	-35177257050
SPT(14)	285810226977780899	0 8 14 50 80 98 114 128 144 162 192 228 234 242	-14161980258
SPT(14)	285810230643492083	0 8 90 114 204 228 260 294 326 350 440 464 546 554	-10496269074
SPT(14)	285810236872071073	0 18 84 130 156 186 196 198 208 238 264 310 376 394	-4267690084
SPT(14)	285810239466071101	0 28 78 106 138 150 162 166 178 190 222 250 300 328	-1673690056
STPT(10)	285810254751845321	0 2 36 38 78 80 120 122 156 158	13612084164
SPT(14)	285810260177925569	0 20 30 48 78 80 120 170 210 212 242 260 270 290	19038164412
SPT(14)	285810266518570819	0 22 48 72 124 132 142 270 280 288 340 364 390 412	25378809662
SPT(14)	285810285227911159	0 18 52 108 112 114 118 144 148 150 154 210 244 262	44088150002
SPT(16)	285810340678772291	0 2 12 30 68 98 116 162 176 222 240 270 308 326 336 338	99539011134