Prime p₀= 740247733376916221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 10 2 124 2 22 2 4 2 (?)
a_n: 0 2 18 20 78 80 90 92 216 218 240 242 246 248
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: 248
Found by: Theadalus
db: batch=73, k=14, 16 58 10 124 22 4

STPT(10)	740245338097544309	0 2 30 32 60 62 90 92 120 122	-2395279371912
TPT(14)	740245737614917241	0 2 66 68 138 140 246 248 288 290 360 362 378 380	-1995761998980
SPT(16)	740246007825831467	0 36 44 72 126 186 200 252 284 336 350 410 464 492 500 536	-1725551084754
SPT(16)	740246216320592561	0 30 32 116 150 152 182 186 206 210 240 242 276 360 362 392	-1517056323660
SPT(16)	740247374070745181	0 42 68 72 98 110 132 188 210 266 288 300 326 330 356 398	-359306171040
SPT(13)	740247710296187971	0 72 108 168 192 258 300 342 408 432 492 528 600	-23080728250
SPT(16)	740247950925763639	0 24 72 90 94 100 120 130 132 142 162 168 172 190 238 262	217548847418
SPT(16)	740247973890301603	0 4 6 166 174 226 270 280 354 364 408 460 468 628 630 634	240513385382
SPT(18)	740248129949144029	0 22 28 58 90 168 184 244 318 334 408 468 484 562 594 624 630 652	396572227808
SPT(16)	740248415113755673	0 10 30 54 114 130 154 166 198 210 234 250 310 334 354 364	681736839452
SPT(16)	740248679907687871	0 6 16 22 30 78 90 162 196 268 280 328 336 342 352 358	946530771650