Prime p₀= 1264545350591948639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 28 2 10 2 28 2 16 2 (?)
a_n: 0 2 60 62 168 170 198 200 210 212 240 242 258 260
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: 260
Found by: stoneageman
db: batch=77, k=14, 58 106 28 10 28 16

SPT(16)	1264544922064252481	0 2 38 50 90 98 156 162 176 182 240 248 288 300 336 338	-428527696158
SPT(18)	1264544942187564781	0 16 22 28 30 90 112 160 162 226 228 276 298 358 360 366 372 388	-408404383858
SPT(16)	1264544950682054221	0 6 46 60 90 118 136 160 228 252 270 298 328 342 382 388	-399909894418
SPT(16)	1264545072015054829	0 30 42 48 60 82 142 150 160 168 228 250 262 268 280 310	-278576893810
SPT(16)	1264545096180970217	0 50 66 74 80 122 150 152 174 176 204 246 252 260 276 326	-254410978422
SPT(16)	1264545173139791969	0 2 12 18 38 44 72 74 108 110 138 144 164 170 180 182	-177452156670
TPT(14)	1264545403542239417	0 2 60 62 144 146 174 176 222 224 342 344 354 356	52950290778
TPT(14)	1264545428351156837	0 2 114 116 132 134 222 224 264 266 270 272 294 296	77759208198
STPT(10)	1264545828614254727	0 2 30 32 72 74 114 116 144 146	478022306088
STPT(10)	1264545846671532707	0 2 42 44 72 74 102 104 144 146	496079584068
STPT(10)	1264545913210309349	0 2 42 44 90 92 138 140 180 182	562618360710