Prime p₀= 1728713429318136179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 28 2 106 2 22 2 16 2 (?)
a_n: 0 2 78 80 90 92 120 122 228 230 252 254 270 272
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: 272
Found by: CoolAtchOk
db: batch=79, k=14, 76 10 28 106 22 16

STPT(10)	1728712469590302137	0 2 30 32 42 44 54 56 84 86	-959727834042
SPT(16)	1728712525430074759	0 4 60 70 84 94 102 124 168 190 198 208 222 232 288 292	-903888061420
STPT(10)	1728712733689026257	0 2 12 14 72 74 132 134 144 146	-695629109922
SPT(16)	1728713293106010641	0 26 36 80 86 126 140 150 152 162 176 216 222 266 276 302	-136212125538
TPT(14)	1728713342654514611	0 2 36 38 48 50 108 110 306 308 426 428 456 458	-86663621568
SPT(16)	1728713424285773797	0 6 34 40 42 124 126 190 216 280 282 364 366 372 400 406	-5032362382
SPT(16)	1728713460928814351	0 26 66 98 120 140 168 176 180 188 216 236 258 290 330 356	31610678172
STPT(10)	1728713540306140637	0 2 12 14 42 44 72 74 84 86	110988004458
SPT(16)	1728713722883415089	0 2 8 24 78 122 138 150 182 194 210 254 308 324 330 332	293565278910
STPT(10)	1728713732003393657	0 2 30 32 42 44 54 56 84 86	302685257478
TPT(14)	1728713850482532839	0 2 30 32 48 50 78 80 90 92 132 134 162 164	421164396660