Prime p₀= 2506373888996783957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 88 2 40 2 160 2 94 2 10 2 (?)
a_n: 0 2 90 92 180 182 222 224 384 386 480 482 492 494
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: 494
Found by: JayPi
db: batch=82, k=14, 88 88 40 160 94 10

SPT(16)	2506372792839979747	0 22 24 34 52 66 106 112 144 150 190 204 222 232 234 256	-1096156804210
STPT(10)	2506373051184056111	0 2 36 38 78 80 120 122 156 158	-837812727846
SPT(16)	2506373138833671161	0 8 20 32 38 48 66 68 90 92 110 120 126 138 150 158	-750163112796
STPT(10)	2506373175770346941	0 2 36 38 78 80 120 122 156 158	-713226437016
STPT(10)	2506373179938609479	0 2 42 44 120 122 198 200 240 242	-709058174478
SPT(16)	2506373834072390647	0 10 60 70 84 96 156 172 234 250 310 322 336 346 396 406	-54924393310
STPT(10)	2506374950639371709	0 2 42 44 60 62 78 80 120 122	1061642587752
STPT(10)	2506375031391886817	0 2 30 32 42 44 54 56 84 86	1142395102860
SPT(16)	2506375257652502209	0 28 30 52 54 72 114 130 162 178 220 238 240 262 264 292	1368655718252
STPT(10)	2506375288963812269	0 2 12 14 90 92 168 170 180 182	1399967028312
STPT(10)	2506375314676071101	0 2 6 8 48 50 90 92 96 98	1425679287144