Prime p₀= 741103872585561767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 34 2 40 2 76 2 10 2 (?)
a_n: 0 2 72 74 84 86 120 122 162 164 240 242 252 254
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: 254
Found by: Theadalus
db: batch=73, k=14, 70 10 34 40 76 10

SPT(16)	741101981909497933	0 4 28 48 84 90 106 114 160 168 184 190 226 246 270 274	-1890676063834
SPT(16)	741102020096217313	0 34 114 136 210 238 276 300 304 328 366 394 468 490 570 604	-1852489344454
SPT(16)	741102718441682327	0 2 20 86 146 150 162 164 222 224 236 240 300 366 384 386	-1154143879440
STPT(10)	741102938901678317	0 2 30 32 42 44 54 56 84 86	-933683883450
STPT(10)	741103050408578447	0 2 30 32 102 104 174 176 204 206	-822176983320
STPT(10)	741103247788018901	0 2 30 32 60 62 90 92 120 122	-624797542866
STPT(10)	741104007659430167	0 2 30 32 42 44 54 56 84 86	135073868400
SPT(16)	741104315684612879	0 30 62 72 74 108 150 182 240 272 314 348 350 360 392 422	443099051112
TPT(14)	741104353983373319	0 2 18 20 30 32 120 122 132 134 162 164 210 212	481397811552
TPT(14)	741104756223735641	0 2 78 80 90 92 108 110 168 170 180 182 246 248	883638173874
SPT(16)	741104830063555879	0 22 52 70 108 120 130 132 148 150 160 172 210 228 258 280	957477994112