Prime p₀= 1079122513998674477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 64 2 58 2 112 2 88 2 (?)
a_n: 0 2 24 26 54 56 120 122 180 182 294 296 384 386
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: 386
Found by: Theadalus
db: batch=76, k=14, 22 28 64 58 112 88

SPT(16)	1079121213252801379	0 100 112 114 154 174 192 238 264 310 328 348 388 390 402 502	-1300745873098
SPT(16)	1079121213347901599	0 42 68 80 98 108 120 150 152 182 194 204 222 234 260 302	-1300650772878
STPT(10)	1079121330484007231	0 2 36 38 78 80 120 122 156 158	-1183514667246
SPT(16)	1079121361162127149	0 28 94 102 114 198 210 234 298 322 334 418 430 438 504 532	-1152836547328
STPT(10)	1079121387824184077	0 2 90 92 102 104 114 116 204 206	-1126174490400
SPT(16)	1079121752364330889	0 12 40 42 70 82 102 118 132 148 168 180 208 210 238 250	-761634343588
STPT(10)	1079122651168311089	0 2 18 20 30 32 42 44 60 62	137169636612
SPT(16)	1079122878726081247	0 6 42 60 76 114 132 156 190 214 232 270 286 304 340 346	364727406770
SPT(16)	1079123026034799397	0 16 40 94 126 192 226 252 304 330 364 430 462 516 540 556	512036124920
TPT(14)	1079123489314018847	0 2 30 32 72 74 150 152 264 266 294 296 402 404	975315344370
TPT(14)	1079123540846550839	0 2 12 14 78 80 90 92 168 170 222 224 258 260	1026847876362