Prime p₀= 779036913409463279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 40 2 136 2 16 2 10 2 (?)
a_n: 0 2 48 50 60 62 102 104 240 242 258 260 270 272
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: [SG-2W]Kurzer
db: batch=73, k=14, 46 10 40 136 16 10

SPT(16)	779036089618881377	0 30 50 54 72 156 182 192 194 204 230 314 332 336 356 386	-823790581902
SPT(16)	779036432935670401	0 10 42 52 88 90 100 130 198 228 238 240 276 286 318 328	-480473792878
SPT(16)	779036511497666581	0 66 90 102 120 148 162 208 300 346 360 388 406 418 442 508	-401911796698
SPT(16)	779036572222956967	0 10 34 52 112 174 204 216 220 232 262 324 384 402 426 436	-341186506312
STPT(10)	779036763267909239	0 2 18 20 30 32 42 44 60 62	-150141554040
STPT(10)	779036798129950271	0 2 6 8 18 20 30 32 36 38	-115279513008
STPT(10)	779036995417060337	0 2 60 62 72 74 84 86 144 146	82007597058
SPT(16)	779037061942652207	0 62 80 92 104 114 126 140 156 170 182 192 204 216 234 296	148533188928
SPT(16)	779037318376557073	0 10 30 40 78 100 108 136 168 196 204 226 264 274 294 304	404967093794
SPT(16)	779037456896187653	0 8 24 36 66 128 150 180 194 224 246 308 338 350 366 374	543486724374
SPT(16)	779037534382297901	0 8 20 42 90 102 110 132 146 168 176 188 236 258 270 278	620972834622