Prime p₀= 1288817233669138637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 16 2 10 2 16 2 82 2 (?)
a_n: 0 2 60 62 72 74 90 92 102 104 120 122 204 206
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: 206
Found by: stoneageman
db: batch=77, k=14, 58 10 16 10 16 82

SPT(16)	1288815809697176773	0 60 64 70 78 124 138 148 150 160 174 220 228 234 238 298	-1423971961864
SPT(16)	1288816445730864077	0 20 32 56 80 96 132 140 156 164 200 216 240 264 276 296	-787938274560
STPT(10)	1288816562953328987	0 2 30 32 42 44 54 56 84 86	-670715809650
SPT(16)	1288816784007434141	0 6 26 38 66 110 132 162 206 236 258 302 330 342 362 368	-449661704496
STPT(10)	1288816913378117369	0 2 30 32 120 122 210 212 240 242	-320291021268
SPT(16)	1288816942866084371	0 6 12 18 150 152 180 182 186 188 216 218 350 356 362 368	-290803054266
SPT(16)	1288817273192856889	0 4 60 84 118 138 150 208 270 328 340 360 394 418 474 478	39523718252
SPT(16)	1288818148853524687	0 46 54 90 112 124 154 166 180 192 222 234 256 292 300 346	915184386050
SPT(16)	1288818321387779803	0 4 24 40 84 88 90 106 108 124 126 130 174 190 210 214	1087718641166
SPT(16)	1288818448090890341	0 42 56 98 108 120 132 162 176 206 218 230 240 282 296 338	1214421751704
SPT(16)	1288818895441968623	0 38 66 68 90 150 186 218 276 308 344 404 426 428 456 494	1661772829986