Prime p₀= 2059896138382935857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 12 14 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: Landjunge
db: batch=80, k=14, 10 16 10 46 10 28

STPT(12)	2059895667479629697	0 2 42 44 90 92 132 134 180 182 222 224	-470903306160
STPT(10)	2059895675261180969	0 2 42 44 60 62 78 80 120 122	-463121754888
SPT(16)	2059895791318398421	0 12 198 208 222 238 252 292 336 376 390 406 420 430 616 628	-347064537436
SPT(16)	2059895795944514699	0 8 12 20 72 78 92 108 152 168 182 188 240 248 252 260	-342438421158
STPT(10)	2059895969929280771	0 2 36 38 78 80 120 122 156 158	-168453655086
STPT(10)	2059896012091860491	0 2 6 8 48 50 90 92 96 98	-126291075366
SPT(16)	2059896166443448549	0 24 34 40 42 54 72 84 100 112 130 142 144 150 160 184	28060512692
STPT(10)	2059896177677890337	0 2 30 32 60 62 90 92 120 122	39294954480
SPT(16)	2059896259271982871	0 70 82 90 130 136 172 180 208 216 252 258 298 306 318 388	120889047014
SPT(16)	2059896387762901859	0 42 44 54 80 114 152 164 210 222 260 294 320 330 332 374	249379966002
SPT(16)	2059896421613357549	0 14 60 62 84 110 122 144 230 252 264 290 312 314 360 374	283230421692