Prime p₀= 2993182934114980331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 10 2 88 2 34 2 28 2 10 2 (?)
a_n: 0 2 168 170 180 182 270 272 306 308 336 338 348 350
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: 350
Found by: [SG-FC] hl
db: batch=82, k=14, 166 10 88 34 28 10

SPT(16)	2993181309836511137	0 56 86 92 116 204 240 242 264 266 302 390 414 420 450 506	-1624278469194
SPT(16)	2993181423870708691	0 66 78 88 90 112 130 132 166 168 186 208 210 220 232 298	-1510244271640
SPT(16)	2993181816656961679	0 58 70 88 94 102 112 124 168 180 190 198 204 222 234 292	-1117458018652
SPT(16)	2993182466080688569	0 22 30 42 72 84 88 108 154 174 178 190 220 232 240 262	-468034291762
STPT(10)	2993182669209935087	0 2 12 14 42 44 72 74 84 86	-264905045244
SPT(16)	2993182931435206219	0 64 120 190 202 234 238 244 378 384 388 420 432 502 558 622	-2679774112
SPT(16)	2993184157400778487	0 42 54 72 100 124 126 186 220 280 282 306 334 352 364 406	1223285798156
SPT(16)	2993184287784471241	0 16 18 40 138 168 216 250 258 292 340 370 468 490 492 508	1353669490910
STPT(10)	2993184483823181777	0 2 84 86 132 134 180 182 264 266	1549708201446
TPT(14)	2993184567843450521	0 2 6 8 36 38 48 50 126 128 156 158 186 188	1633728470190
SPT(16)	2993184681837210437	0 14 44 56 80 84 96 104 132 140 152 156 180 192 222 236	1747722230106