Prime p₀= 2524860784411191671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 124 2 10 2 28 2 40 2 (?)
a_n: 0 2 18 20 30 32 156 158 168 170 198 200 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 16 10 124 10 28 40

SPT(16)	2524859611054535207	0 6 50 92 140 146 192 246 356 410 456 462 510 552 596 602	-1173356656464
STPT(10)	2524859737097931851	0 2 36 38 78 80 120 122 156 158	-1047313259820
STPT(10)	2524859834637095477	0 2 30 32 42 44 54 56 84 86	-949774096194
STPT(10)	2524860118670262797	0 2 54 56 72 74 90 92 144 146	-665740928874
SPT(16)	2524860266713663141	0 18 22 46 70 76 90 102 106 118 132 138 162 186 190 208	-517697528530
SPT(13)	2524860451894285159	0 12 84 90 102 120 132 144 162 174 180 252 264	-332516906512
STPT(12)	2524860915918229571	0 2 90 92 126 128 180 182 216 218 306 308	131507037900
SPT(16)	2524861479951706369	0 22 28 34 60 108 148 154 168 174 214 262 288 294 300 322	695540514698
SPT(16)	2524861527918618541	0 22 60 70 78 112 118 160 198 240 246 280 288 298 336 358	743507426870
STPT(10)	2524861712589577349	0 2 18 20 30 32 42 44 60 62	928178385678
STPT(10)	2524862018699792207	0 2 42 44 72 74 102 104 144 146	1234288600536