Prime p₀= 740936146457526137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 178 2 28 2 94 2 28 2 (?)
a_n: 0 2 72 74 84 86 264 266 294 296 390 392 420 422
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: 422
Found by: Theadalus
db: batch=73, k=14, 70 10 178 28 94 28

TPT(14)	740935550824735991	0 2 18 20 48 50 60 62 90 92 126 128 138 140	-595632790146
SPT(16)	740935645584145903	0 66 84 106 124 160 190 204 280 294 324 360 378 400 418 484	-500873380234
STPT(10)	740935692532545479	0 2 12 14 30 32 48 50 60 62	-453924980658
STPT(10)	740935820419851149	0 2 30 32 60 62 90 92 120 122	-326037674988
SPT(18)	740935945471907593	0 24 30 48 58 88 100 144 154 174 184 228 240 270 280 298 304 328	-200985618544
STPT(10)	740936035149666449	0 2 30 32 120 122 210 212 240 242	-111307859688
TPT(14)	740936890544930489	0 2 12 14 18 20 42 44 60 62 90 92 408 410	744087404352
STPT(10)	740937119133472319	0 2 42 44 60 62 78 80 120 122	972675946182
SPT(16)	740937323044356133	0 66 70 124 126 156 180 196 204 220 244 274 276 330 334 400	1176586829996
STPT(10)	740937439739947127	0 2 12 14 42 44 72 74 84 86	1293282420990
SPT(16)	740937481134502121	0 26 108 116 158 170 186 198 290 302 318 330 372 380 462 488	1334676975984