Prime p₀= 1879734629864240561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 52 2 16 2 28 2 40 2 (?)
a_n: 0 2 18 20 96 98 150 152 168 170 198 200 240 242
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: CThiede
db: batch=79, k=14, 16 76 52 16 28 40

SPT(16)	1879733343351731537	0 54 62 66 92 104 150 174 182 206 252 264 290 294 302 356	-1286512509024
SPT(16)	1879733496828310847	0 6 20 54 72 86 96 114 122 140 150 164 182 216 230 236	-1133035929714
SPT(24)	1879733900609729407	0 12 64 84 106 130 144 154 174 220 222 232 234 244 246 292 312 322 336 360 382 402 454 466	-729254511154
TPT(14)	1879733932317844121	0 2 30 32 120 122 156 158 288 290 318 320 390 392	-697546396440
SPT(16)	1879734208775649463	0 4 6 18 40 66 76 136 168 228 238 264 286 298 300 304	-421088591098
SPT(16)	1879734346748446871	0 2 26 30 48 60 86 152 216 282 308 320 338 342 366 368	-283115793690
SPT(16)	1879734702167907493	0 24 28 54 58 60 88 90 94 96 124 126 130 156 160 184	72303666932
SPT(16)	1879734830854518721	0 10 28 52 58 96 102 108 130 136 142 180 186 210 228 238	200990278160
TPT(14)	1879734924760413671	0 2 30 32 96 98 198 200 228 230 276 278 306 308	294896173110
TPT(14)	1879734986576917487	0 2 54 56 120 122 162 164 222 224 252 254 294 296	356712676926
SPT(13)	1879735016407046789	0 12 18 42 48 78 90 102 132 138 162 168 180	386542806228