Prime p₀= 2563207350877786829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 64 2 28 2 40 2 70 2 (?)
a_n: 0 2 60 62 72 74 138 140 168 170 210 212 282 284
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 284
Found by: [SG-FC] hl
db: batch=82, k=14, 58 10 64 28 40 70

STPT(10)	2563205658984310589	0 2 18 20 30 32 42 44 60 62	-1691893476240
STPT(10)	2563205695666462877	0 2 30 32 60 62 90 92 120 122	-1655211323952
SPT(16)	2563206136413257891	0 2 12 30 36 56 66 80 138 152 162 182 188 206 216 218	-1214464528938
TPT(14)	2563206291642838781	0 2 36 38 90 92 120 122 186 188 198 200 216 218	-1059234948048
SPT(16)	2563206834086742691	0 12 40 66 72 100 112 126 136 150 162 190 196 222 250 262	-516791044138
SPT(16)	2563207311216945697	0 10 12 22 24 54 90 132 154 196 232 262 264 274 276 286	-39660841132
SPT(16)	2563207560533876237	0 80 114 164 182 216 252 276 290 314 350 384 402 452 486 566	209656089408
SPT(16)	2563207571847564203	0 20 48 50 74 80 90 108 116 134 144 150 174 176 204 224	220969777374
STPT(10)	2563207808767198847	0 2 42 44 72 74 102 104 144 146	457889412018
STPT(10)	2563208198160586181	0 2 6 8 18 20 30 32 36 38	847282799352
SPT(16)	2563208516380022099	0 12 32 44 72 84 98 102 110 114 128 140 168 180 200 212	1165502235270