Prime p₀= 2880633815754442289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 34 2 70 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 150 152 180 182 192 194
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: 194
Found by: Landjunge
db: batch=82, k=14, 10 28 34 70 28 10

SPT(16)	2880632343797611409	0 18 30 102 132 140 152 182 240 270 282 290 320 392 404 422	-1471956830880
STPT(10)	2880632548509184949	0 2 18 20 30 32 42 44 60 62	-1267245257340
STPT(10)	2880633334498559621	0 2 36 38 78 80 120 122 156 158	-481255882668
TPT(14)	2880633389595794891	0 2 36 38 90 92 120 122 156 158 216 218 240 242	-426158647398
SPT(16)	2880633782518040947	0 24 66 76 84 114 150 180 256 286 322 352 360 370 412 436	-33236401342
STPT(10)	2880633796927318049	0 2 48 50 60 62 72 74 120 122	-18827124240
SPT(16)	2880634116990250211	0 56 66 68 78 126 132 156 272 296 302 350 360 362 372 428	301235807922
SPT(16)	2880634360349417491	0 10 36 46 52 58 72 88 120 136 150 156 162 172 198 208	544594975202
SPT(16)	2880634727343221993	0 20 26 56 110 114 138 140 144 146 170 174 228 258 264 284	911588779704
SPT(16)	2880635070993024251	0 2 8 30 32 36 48 86 102 140 152 156 158 180 186 188	1255238581962
SPT(16)	2880635216651033209	0 30 40 54 70 142 144 184 198 238 240 312 328 342 352 382	1400896590920