Prime p₀= 2387492835297242987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 88 2 64 2 10 2 46 2 (?)
a_n: 0 2 30 32 54 56 144 146 210 212 222 224 270 272
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: 272
Found by: Landjunge
db: batch=81, k=14, 28 22 88 64 10 46

STPT(10)	2387491305029448851	0 2 36 38 78 80 120 122 156 158	-1530267794136
TPT(14)	2387491589593385879	0 2 30 32 60 62 90 92 102 104 240 242 258 260	-1245703857108
SPT(16)	2387492306119738457	0 50 72 96 134 170 176 180 206 210 216 252 290 314 336 386	-529177504530
STPT(10)	2387492412345577679	0 2 18 20 30 32 42 44 60 62	-422951665308
TPT(16)	2387492663955434339	0 2 42 44 108 110 120 122 150 152 192 194 258 260 402 404	-171341808648
SPT(16)	2387492740429354511	0 38 42 50 78 90 98 116 132 150 158 170 198 206 210 248	-94867888476
STPT(10)	2387492895600221711	0 2 30 32 78 80 126 128 156 158	60302978724
SPT(16)	2387492968325736737	0 36 86 96 104 146 152 170 306 324 330 372 380 390 440 476	133028493750
STPT(10)	2387493420351457037	0 2 42 44 72 74 102 104 144 146	585054214050
TPT(14)	2387493521651309117	0 2 12 14 114 116 132 134 144 146 180 182 210 212	686354066130
SPT(16)	2387493577956053279	0 18 72 114 140 174 188 194 258 264 278 312 338 380 434 452	742658810292