Prime p₀= 2913740071467597569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 28 2 10 2 10 2 4 2 (?)
a_n: 0 2 30 32 108 110 138 140 150 152 162 164 168 170
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: 170
Found by: [SG-FC] hl
db: batch=82, k=14, 28 76 28 10 10 4

SPT(13)	2913739250061714131	0 18 120 168 186 210 288 366 390 408 456 558 576	-821405883438
STPT(10)	2913739340750928551	0 2 36 38 78 80 120 122 156 158	-730716669018
SPT(13)	2913739375387145381	0 6 30 42 90 96 156 216 222 270 282 306 312	-696080452188
TPT(14)	2913739585669038827	0 2 24 26 30 32 42 44 72 74 150 152 180 182	-485798558742
STPT(10)	2913739829191254821	0 2 6 8 18 20 30 32 36 38	-242276342748
STPT(10)	2913739953154986251	0 2 6 8 18 20 30 32 36 38	-118312611318
STPT(10)	2913740075796076139	0 2 18 20 30 32 42 44 60 62	4328478570
SPT(16)	2913740213111291881	0 48 66 70 72 130 132 160 168 196 198 256 258 262 280 328	141643694312
SPT(16)	2913740654354497291	0 58 60 88 108 120 126 148 150 172 178 190 210 238 240 298	582886899722
STPT(10)	2913740812638278657	0 2 60 62 72 74 84 86 144 146	741170681088
SPT(16)	2913741305589893041	0 28 76 82 106 120 132 148 180 196 208 222 246 252 300 328	1234122295472