Prime p₀= 740920968213862157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 148 2 58 2 76 2 40 2 16 2 (?)
a_n: 0 2 42 44 192 194 252 254 330 332 372 374 390 392
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: 392
Found by: Theadalus
db: batch=73, k=14, 40 148 58 76 40 16

SPT(16)	740919214065667363	0 6 24 28 34 48 60 90 94 124 136 150 156 160 178 184	-1754148194794
SPT(16)	740919274427803699	0 4 64 70 100 114 148 160 252 264 298 312 342 348 408 412	-1693786058458
STPT(10)	740920432631436389	0 2 12 14 90 92 168 170 180 182	-535582425768
SPT(16)	740920577493791069	0 44 114 134 144 162 180 182 282 284 302 320 330 350 420 464	-390720071088
SPT(16)	740920591493813441	0 8 12 86 102 116 162 168 170 176 222 236 252 326 330 338	-376720048716
SPT(16)	740920892731092803	0 8 56 80 86 134 144 146 228 230 240 288 294 318 366 374	-75482769354
STPT(10)	740921233074031829	0 2 162 164 180 182 198 200 360 362	264860169672
SPT(16)	740921335646323939	0 28 30 48 52 60 70 90 112 132 142 150 154 172 174 202	367432461782
STPT(10)	740921521246268189	0 2 42 44 60 62 78 80 120 122	553032406032
SPT(18)	740921638190402033	0 54 68 84 158 170 224 228 234 254 260 264 318 330 404 420 434 488	669976539876
SPT(16)	740921681756520361	0 10 42 48 82 102 126 132 136 142 166 186 220 226 258 268	713542658204