Prime p₀= 2811330950098975847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 16 2 28 2 28 2 40 2 (?)
a_n: 0 2 30 32 54 56 72 74 102 104 132 134 174 176
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: 176
Found by: JayPi
db: batch=82, k=14, 28 22 16 28 28 40

SPT(16)	2811329361089665543	0 18 28 46 84 88 108 130 144 166 186 190 228 246 256 274	-1589009310304
SPT(16)	2811329523610964569	0 28 54 70 154 160 168 178 234 244 252 258 342 358 384 412	-1426488011278
STPT(10)	2811329621207421701	0 2 30 32 78 80 126 128 156 158	-1328891554146
SPT(16)	2811330154329047003	0 14 48 66 78 104 146 198 266 318 360 386 398 416 450 464	-795769928844
SPT(16)	2811330245366412043	0 24 40 94 106 126 136 150 184 198 208 228 240 294 310 334	-704732563804
SPT(16)	2811330504954011101	0 42 52 70 78 88 120 172 276 328 360 370 378 396 406 448	-445144964746
TPT(14)	2811331160842140509	0 2 18 20 72 74 108 110 150 152 210 212 240 242	210743164662
SPT(16)	2811331570600021297	0 6 10 30 114 166 190 202 324 336 360 412 496 516 520 526	620501045450
SPT(16)	2811331901066998367	0 50 56 84 104 164 170 230 270 330 336 396 416 444 450 500	950968022520
SPT(16)	2811332000794183481	0 6 38 42 72 96 110 132 146 168 182 206 236 240 272 278	1050695207634
STPT(10)	2811332337479228987	0 2 54 56 132 134 210 212 264 266	1387380253140