Prime p₀= 2043767165774206919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 88 2 16 2 58 2 40 2 10 2 (?)
a_n: 0 2 90 92 180 182 198 200 258 260 300 302 312 314
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: Landjunge
db: batch=80, k=14, 88 88 16 58 40 10

STPT(10)	2043765763268625167	0 2 30 32 72 74 114 116 144 146	-1402505581752
STPT(10)	2043765838970448869	0 2 12 14 90 92 168 170 180 182	-1326803758050
SPT(16)	2043765839316675343	0 24 28 70 78 94 100 130 174 204 210 226 234 276 280 304	-1326457531576
STPT(10)	2043766083793222931	0 2 6 8 18 20 30 32 36 38	-1081980983988
SPT(16)	2043766221480964153	0 4 28 118 120 186 196 208 216 228 238 304 306 396 420 424	-944293242766
STPT(10)	2043767121971520401	0 2 30 32 78 80 126 128 156 158	-43802686518
STPT(10)	2043767459199344477	0 2 30 32 42 44 54 56 84 86	293425137558
SPT(18)	2043767624732315623	0 30 40 64 78 84 108 136 148 186 198 226 250 256 270 294 304 334	458958108704
TPT(14)	2043768228700839941	0 2 18 20 126 128 156 158 186 188 198 200 240 242	1062926633022
SPT(16)	2043768282230788873	0 4 28 30 78 88 90 154 174 238 240 250 298 300 324 328	1116456581954
STPT(10)	2043768296135879141	0 2 6 8 48 50 90 92 96 98	1130361672222