Prime p₀= 2918443423228906367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 28 2 4 2 22 2 (?)
a_n: 0 2 12 14 42 44 54 56 84 86 90 92 114 116
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: 116
Found by: Landjunge
db: batch=82, k=14, 10 28 10 28 4 22

SPT(16)	2918441820509776259	0 14 30 48 90 132 150 152 210 212 230 272 314 332 348 362	-1602719130108
STPT(10)	2918441842281071789	0 2 42 44 90 92 138 140 180 182	-1580947834578
STPT(10)	2918442627579341207	0 2 42 44 72 74 102 104 144 146	-795649565160
TPT(14)	2918443022470433849	0 2 30 32 42 44 108 110 138 140 180 182 252 254	-400758472518
SPT(16)	2918443072591277747	0 6 62 126 164 174 182 216 260 294 302 312 350 414 470 476	-350637628620
STPT(10)	2918443312481369999	0 2 18 20 30 32 42 44 60 62	-110747536368
SPT(16)	2918444030150820371	0 12 18 68 98 158 170 180 200 210 222 282 312 362 368 380	606921914004
STPT(10)	2918444592865281437	0 2 24 26 42 44 60 62 84 86	1169636375070
SPT(16)	2918444640066358951	0 142 168 172 196 252 270 298 300 328 346 402 426 430 456 598	1216837452584
STPT(10)	2918444838536545469	0 2 48 50 90 92 132 134 180 182	1415307639102
STPT(10)	2918444966112060941	0 2 6 8 48 50 90 92 96 98	1542883154574