Prime p₀= 2077482959777059487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 16 2 10 2 28 2 10 2 (?)
a_n: 0 2 30 32 72 74 90 92 102 104 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=14, 28 40 16 10 28 10

SPT(16)	2077482119996468533	0 28 46 54 118 124 130 238 306 414 420 426 490 498 516 544	-839780590954
STPT(10)	2077482256596373127	0 2 54 56 72 74 90 92 144 146	-703180686360
STPT(10)	2077482565261796447	0 2 30 32 42 44 54 56 84 86	-394515263040
SPT(16)	2077482744557008043	0 14 26 104 120 164 180 194 246 260 276 320 336 414 426 440	-215220051444
STPT(10)	2077482851373831227	0 2 60 62 72 74 84 86 144 146	-108403228260
SPT(16)	2077482914389286273	0 8 36 38 78 80 86 108 146 168 174 176 216 218 246 254	-45387773214
SPT(16)	2077482981920571989	0 2 12 14 108 140 144 162 200 218 222 254 348 350 360 362	22143512502
STPT(10)	2077483489074881429	0 2 12 14 90 92 168 170 180 182	529297821942
SPT(16)	2077483566085165547	0 72 80 86 96 176 182 200 246 264 270 350 360 366 374 446	606308106060
SPT(16)	2077484013333013391	0 32 38 42 68 98 122 140 168 186 210 240 266 270 276 308	1053555953904
SPT(16)	2077484268917046163	0 40 88 108 154 180 208 238 276 306 334 360 406 426 474 514	1309139986676