Prime p₀= 1461747249016671299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 40 2 34 2 40 2 40 2 (?)
a_n: 0 2 42 44 60 62 102 104 138 140 180 182 222 224
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: 224
Found by: arkiss
db: batch=78, k=14, 40 16 40 34 40 40

TPT(14)	1461744541918756001	0 2 18 20 30 32 60 62 96 98 216 218 258 260	-2707097915298
STPT(10)	1461745971471301301	0 2 30 32 78 80 126 128 156 158	-1277545369998
SPT(16)	1461746045633774557	0 10 16 30 34 46 70 82 144 156 180 192 196 210 216 226	-1203382896742
SPT(16)	1461746110043582017	0 6 22 36 90 106 174 184 342 352 420 436 490 504 520 526	-1138973089282
STPT(10)	1461746699795987177	0 2 24 26 42 44 60 62 84 86	-549220684122
SPT(16)	1461746776395977789	0 18 92 134 200 204 224 252 260 288 308 312 378 420 494 512	-472620693510
SPT(16)	1461747859645669333	0 28 34 36 90 154 168 174 220 226 240 304 358 360 366 394	610628998034
SPT(16)	1461748231188793081	0 30 76 100 120 150 162 186 202 226 238 268 288 312 358 388	982172121782
SPT(16)	1461748359601103059	0 10 52 54 72 82 120 132 142 154 192 202 220 222 264 274	1110584431760
STPT(10)	1461749122461222731	0 2 108 110 138 140 168 170 276 278	1873444551432
SPT(16)	1461749227753841353	0 4 28 90 108 150 186 196 228 238 274 316 334 396 420 424	1978737170054