Prime p₀= 2779746248340128189 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 28 2 70 2 16 2 118 2 (?)
a_n: 0 2 42 44 48 50 78 80 150 152 168 170 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 40 4 28 70 16 118

SPT(16)	2779744747592096467	0 10 16 40 52 54 120 156 190 226 292 294 306 330 336 346	-1500748031722
TPT(14)	2779745270070419267	0 2 42 44 114 116 192 194 240 242 282 284 372 374	-978269708922
SPT(16)	2779745531790732199	0 90 112 132 162 172 238 298 342 402 468 478 508 528 550 640	-716549395990
STPT(10)	2779745542814017367	0 2 42 44 72 74 102 104 144 146	-705526110822
STPT(10)	2779746060813595127	0 2 42 44 72 74 102 104 144 146	-187526533062
SPT(16)	2779746210439207103	0 26 78 90 96 128 134 164 180 210 216 248 254 266 318 344	-37900921086
SPT(16)	2779746367389862459	0 28 42 58 70 94 102 112 180 190 198 222 234 250 264 292	119049734270
STPT(10)	2779746711958260311	0 2 36 38 78 80 120 122 156 158	463618132122
SPT(16)	2779746816124895389	0 48 64 78 120 132 154 190 252 288 310 322 364 378 394 442	567784767200
SPT(16)	2779747120917767267	0 44 80 120 150 186 194 204 242 252 260 296 326 366 402 446	872577639078
STPT(10)	2779747395681279941	0 2 30 32 78 80 126 128 156 158	1147341151752