Prime p₀= 2037805346931904997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 100 2 4 2 40 2 40 2 16 2 (?)
a_n: 0 2 42 44 144 146 150 152 192 194 234 236 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 40 100 4 40 40 16

SPT(16)	2037804542025198469	0 12 22 28 48 90 130 150 232 252 292 334 354 360 370 382	-804906706528
SPT(16)	2037804653140005571	0 22 28 100 106 136 138 162 196 220 222 252 258 330 336 358	-693791899426
TPT(14)	2037804658314444911	0 2 6 8 36 38 48 50 78 80 138 140 150 152	-688617460086
SPT(16)	2037804952430712251	0 8 78 98 146 156 218 246 272 300 362 372 420 440 510 518	-394501192746
STPT(10)	2037805201626834851	0 2 30 32 78 80 126 128 156 158	-145305070146
STPT(10)	2037805307723980967	0 2 30 32 42 44 54 56 84 86	-39207924030
TPT(14)	2037806161621823777	0 2 42 44 84 86 90 92 252 254 312 314 324 326	814689918780
SPT(16)	2037806521759523623	0 6 16 64 78 84 94 106 168 180 190 196 210 258 268 274	1174827618626
SPT(16)	2037806573374746257	0 12 20 26 56 102 132 144 182 194 224 270 300 306 314 326	1226442841260
SPT(16)	2037806591440997491	0 28 52 66 76 108 190 202 246 258 340 372 382 396 420 448	1244509092494
SPT(16)	2037806789821984583	0 30 80 86 90 98 114 120 134 140 156 164 168 174 224 254	1442890079586