Prime p₀= 2844540495579715487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 40 2 16 2 10 2 64 2 (?)
a_n: 0 2 84 86 102 104 144 146 162 164 174 176 240 242
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: 242
Found by: Landjunge
db: batch=82, k=14, 82 16 40 16 10 64

SPT(18)	2844539564080111069	0 42 58 120 160 168 172 184 240 382 438 450 454 462 502 564 580 622	-931499604418
STPT(10)	2844540073003048109	0 2 18 20 30 32 42 44 60 62	-422576667378
TPT(14)	2844540125803386779	0 2 150 152 168 170 192 194 198 200 222 224 228 230	-369776328708
SPT(16)	2844540374269336343	0 6 14 20 54 56 60 84 170 194 198 200 234 240 248 254	-121310379144
SPT(16)	2844540446219988247	0 12 46 90 102 106 130 160 216 246 270 274 286 330 364 376	-49359727240
STPT(10)	2844540487877228561	0 2 36 38 78 80 120 122 156 158	-7702486926
SPT(16)	2844540568383520711	0 6 22 42 96 118 126 130 168 172 180 202 256 276 292 298	72803805224
SPT(16)	2844540890806870147	0 6 12 16 34 76 120 124 162 166 210 252 270 274 280 286	395227154660
STPT(10)	2844541061563919747	0 2 30 32 42 44 54 56 84 86	565984204260
SPT(16)	2844541663256391829	0 12 22 24 30 40 54 112 150 208 222 232 238 240 250 262	1167676676342
SPT(16)	2844541830289503881	0 18 26 36 56 66 78 80 96 98 110 120 140 150 158 176	1334709788394