Prime p₀= 509509708053058421 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 28 2 28 2 94 2 10 2 (?)
a_n: 0 2 60 62 90 92 120 122 216 218 228 230
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: 230
Found by: marsinph
db: batch=71, k=12, 58 28 28 94 10

SPT(14)	509509642453330751	0 36 42 72 156 168 240 248 320 332 416 446 452 488	-65599727670
SPT(14)	509509643624067563	0 38 50 116 158 164 168 236 240 246 288 354 366 404	-64428990858
SPT(16)	509509660765568663	0 48 54 78 110 120 126 144 170 188 194 204 236 260 266 314	-47287489758
SPT(14)	509509669568278807	0 4 10 22 30 42 52 72 82 94 102 114 120 124	-38484779614
SPT(14)	509509691549997337	0 64 84 90 154 156 174 226 244 246 310 316 336 400	-16503061084
SPT(14)	509509706150346137	0 32 56 92 110 126 140 396 410 426 444 480 504 536	-1902712284
STPT(10)	509509729897829207	0 2 30 32 42 44 54 56 84 86	21844770786
SPT(14)	509509737421417163	0 14 44 74 90 96 114 116 134 140 156 186 216 230	29368358742
SPT(14)	509509741788797819	0 24 38 42 54 84 90 122 128 158 170 174 188 212	33735739398
SPT(14)	509509749131293663	0 70 76 78 88 90 96 400 406 408 418 420 426 496	41078235242
SPT(14)	509509767873988417	0 6 42 130 144 154 180 196 222 232 246 334 370 376	59820929996