Prime p₀= 1037849426590936571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 10 2 88 2 88 2 16 2 10 2 (?)
a_n: 0 2 108 110 120 122 210 212 300 302 318 320 330 332
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: 332
Found by: Theadalus
db: batch=76, k=14, 106 10 88 88 16 10

SPT(16)	1037847054316262161	0 28 58 88 102 112 126 142 306 322 336 346 360 390 420 448	-2372274674410
SPT(16)	1037847631627157777	0 20 90 150 156 186 222 236 270 284 320 350 356 416 486 506	-1794963778794
SPT(16)	1037848198710151729	0 24 42 102 118 132 174 190 192 208 250 264 280 340 358 382	-1227880784842
SPT(16)	1037848261525101731	0 8 26 48 96 108 162 168 200 206 260 272 320 342 360 368	-1165065834840
TPT(14)	1037848470750343541	0 2 48 50 90 92 120 122 126 128 156 158 168 170	-955840593030
SPT(16)	1037849243830358221	0 52 72 82 96 126 132 142 150 160 166 196 210 220 240 292	-182760578350
SPT(16)	1037849475355454563	0 28 46 60 76 90 130 138 196 204 244 258 274 288 306 334	48764517992
STPT(10)	1037849531468465621	0 2 6 8 48 50 90 92 96 98	104877529050
STPT(10)	1037849901556378751	0 2 36 38 78 80 120 122 156 158	474965442180
TPT(16)	1037849972583299717	0 2 114 116 174 176 204 206 252 254 270 272 342 344 372 374	545992363146
TPT(14)	1037849979466392929	0 2 48 50 102 104 198 200 222 224 258 260 300 302	552875456358