Prime p₀= 1010040232074063257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 10 2 4 2 22 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86 90 92 114 116
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: 116
Found by: stoneageman
db: batch=76, k=14, 10 28 28 10 4 22

STPT(10)	1010039551670438291	0 2 30 32 60 62 90 92 120 122	-680403624966
STPT(10)	1010039658231145439	0 2 42 44 60 62 78 80 120 122	-573842917818
TPT(14)	1010039751015519251	0 2 18 20 60 62 96 98 150 152 198 200 240 242	-481058544006
SPT(16)	1010039754631055573	0 6 14 20 78 104 110 140 174 204 210 236 294 300 308 314	-477443007684
STPT(10)	1010040009585966167	0 2 30 32 42 44 54 56 84 86	-222488097090
SPT(20)	1010040079642785931	0 12 46 60 78 90 172 180 202 208 210 216 238 246 328 340 358 372 406 418	-152431277326
STPT(10)	1010040232074063257	0 2 12 14 42 44 72 74 84 86	0
SPT(16)	1010040612015880559	0 24 48 78 92 132 182 192 230 240 290 330 344 374 398 422	379941817302
SPT(16)	1010041002553199567	0 30 42 44 60 80 152 230 234 312 384 404 420 422 434 464	770479136310
SPT(16)	1010041129079418229	0 10 22 34 78 82 138 190 252 304 360 364 408 420 432 442	897005354972
STPT(10)	1010041131142222757	0 2 30 32 42 44 54 56 84 86	899068159500