Prime p₀= 1934253023790765551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 22 2 4 2 10 2 16 2 (?)
a_n: 0 2 66 68 126 128 150 152 156 158 168 170 186 188
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: 188
Found by: Landjunge
db: batch=80, k=14, 64 58 22 4 10 16

SPT(16)	1934251564694558821	0 6 10 40 46 60 82 90 208 216 238 252 258 288 292 298	-1459096206730
STPT(10)	1934251665026310701	0 2 36 38 78 80 120 122 156 158	-1358764454850
STPT(10)	1934251817429498771	0 2 120 122 138 140 156 158 276 278	-1206361266780
SPT(16)	1934252351665890947	0 12 36 80 96 132 146 162 194 210 224 260 276 320 344 356	-672124874604
STPT(10)	1934252612652250937	0 2 54 56 72 74 90 92 144 146	-411138514614
SPT(16)	1934252809440981151	0 28 36 48 70 96 148 202 246 300 352 378 400 412 420 448	-214349784400
SPT(16)	1934254214428385687	0 14 26 32 50 102 116 140 186 210 224 276 294 300 312 326	1190637620136
STPT(10)	1934255084470369259	0 2 18 20 30 32 42 44 60 62	2060679603708
STPT(10)	1934255295913260569	0 2 18 20 30 32 42 44 60 62	2272122495018
SPT(16)	1934255304160701413	0 14 66 68 80 84 114 168 206 260 290 294 306 308 360 374	2280369935862
TPT(14)	1934255329400887721	0 2 18 20 48 50 90 92 126 128 138 140 198 200	2305610122170