Prime p₀= 1172766125666274311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 148 2 28 2 58 2 106 2 40 2 (?)
a_n: 0 2 18 20 168 170 198 200 258 260 366 368 408 410
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: 410
Found by: xii5ku
db: batch=77, k=14, 16 148 28 58 106 40

SPT(16)	1172764838480877209	0 38 60 74 122 152 164 194 198 228 240 270 318 332 354 392	-1287185397102
STPT(10)	1172764988380800557	0 2 12 14 42 44 72 74 84 86	-1137285473754
SPT(16)	1172765421855128363	0 6 54 114 120 126 194 210 224 240 308 314 320 380 428 434	-703811145948
TPT(14)	1172765575098239807	0 2 12 14 24 26 60 62 150 152 180 182 312 314	-550568034504
TPT(14)	1172765800962208559	0 2 30 32 78 80 162 164 168 170 198 200 348 350	-324704065752
SPT(16)	1172766095949838087	0 10 22 36 42 76 90 112 144 166 180 214 220 234 246 256	-29716436224
TPT(14)	1172766135487702709	0 2 18 20 42 44 120 122 228 230 252 254 258 260	9821428398
SPT(16)	1172766965660505931	0 6 66 78 106 112 190 216 232 258 336 342 370 382 442 448	839994231620
SPT(16)	1172766975589349677	0 4 40 42 52 76 96 136 210 250 270 294 304 306 342 346	849923075366
SPT(16)	1172767028870632597	0 24 34 54 106 132 154 156 160 162 184 210 262 282 292 316	903204358286
STPT(10)	1172767040670194741	0 2 36 38 78 80 120 122 156 158	915003920430