Prime p₀= 2667259612444472777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 28 2 28 2 58 2 64 2 (?)
a_n: 0 2 42 44 54 56 84 86 114 116 174 176 240 242
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, 40 10 28 28 58 64

STPT(10)	2667256828281245279	0 2 48 50 60 62 72 74 120 122	-2784163227498
SPT(16)	2667257621551566973	0 10 94 96 124 130 180 210 220 250 300 306 334 336 420 430	-1990892905804
SPT(16)	2667258482723083583	0 36 54 74 98 120 158 176 438 456 494 516 540 560 578 614	-1129721389194
SPT(16)	2667258507184729951	0 42 48 52 76 120 126 132 136 142 148 192 216 220 226 268	-1105259742826
STPT(10)	2667258593813812091	0 2 30 32 60 62 90 92 120 122	-1018630660686
SPT(16)	2667259084084835389	0 10 52 78 90 94 108 120 142 154 168 172 184 210 252 262	-528359637388
STPT(10)	2667260328559204559	0 2 18 20 30 32 42 44 60 62	716114731782
SPT(16)	2667260390306528267	0 6 12 20 44 56 72 80 216 224 240 252 276 284 290 296	777862055490
STPT(10)	2667260627880952391	0 2 36 38 78 80 120 122 156 158	1015436479614
STPT(10)	2667260757050911199	0 2 138 140 180 182 222 224 360 362	1144606438422
SPT(16)	2667260964123713411	0 32 56 62 86 90 102 158 240 296 308 312 336 342 366 398	1351679240634