Prime p₀= 1281104014734465107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 28 2 46 2 112 2 16 2 (?)
a_n: 0 2 90 92 102 104 132 134 180 182 294 296 312 314
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: 314
Found by: HenkM
db: batch=77, k=14, 88 10 28 46 112 16

SPT(20)	1281102678601516607	0 6 90 110 144 156 180 222 236 264 272 300 314 356 380 392 426 446 530 536	-1336132948500
SPT(16)	1281102722721707393	0 14 48 60 104 134 138 156 158 176 180 210 254 266 300 314	-1292012757714
SPT(16)	1281102741994239599	0 8 12 14 18 32 42 50 102 110 120 134 138 140 144 152	-1272740225508
SPT(16)	1281102990527552411	0 18 20 32 36 90 102 168 290 356 368 422 426 438 440 458	-1024206912696
STPT(10)	1281103652269844111	0 2 36 38 78 80 120 122 156 158	-362464620996
SPT(16)	1281103685152761091	0 12 30 42 46 52 118 130 138 150 216 222 226 238 256 268	-329581704016
SPT(16)	1281104116488856313	0 14 20 38 54 84 86 134 210 258 260 290 306 324 330 344	101754391206
SPT(16)	1281104426435341489	0 10 22 42 70 112 114 190 204 280 282 324 352 372 384 394	411700876382
STPT(10)	1281104596733036861	0 2 36 38 78 80 120 122 156 158	581998571754
STPT(10)	1281104682901302209	0 2 18 20 30 32 42 44 60 62	668166837102
STPT(10)	1281104704982033387	0 2 30 32 42 44 54 56 84 86	690247568280