Prime p₀= 1248522700678790891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 46 2 70 2 58 2 136 2 142 2 (?)
a_n: 0 2 48 50 96 98 168 170 228 230 366 368 510 512
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: 512
Found by: damotbe
db: batch=77, k=14, 46 46 70 58 136 142

STPT(10)	1248521709248273561	0 2 6 8 48 50 90 92 96 98	-991430517330
SPT(16)	1248521713607372903	0 18 20 84 86 128 228 230 294 296 396 438 440 504 506 524	-987071417988
SPT(16)	1248522062419263901	0 52 66 78 96 132 148 162 166 180 196 232 250 262 276 328	-638259526990
TPT(14)	1248522170803092917	0 2 30 32 144 146 174 176 210 212 270 272 294 296	-529875697974
SPT(16)	1248522195813215711	0 12 38 72 128 176 180 212 216 248 252 300 356 390 416 428	-504865575180
STPT(10)	1248522541229043887	0 2 42 44 102 104 162 164 204 206	-159449747004
SPT(16)	1248523010470394327	0 6 30 44 56 92 132 152 204 224 264 300 312 326 350 356	309791603436
SPT(16)	1248523071876428531	0 18 30 36 42 68 102 108 170 176 210 236 242 248 260 278	371197637640
SPT(16)	1248523379852069501	0 48 56 78 98 110 116 138 140 162 168 180 200 222 230 278	679173278610
SPT(16)	1248523791392770253	0 8 30 48 50 60 140 176 180 216 296 306 308 326 348 356	1090713979362
SPT(16)	1248524083087959701	0 8 48 56 60 62 86 102 116 132 156 158 162 170 210 218	1382409168810