Prime p₀= 1518425153995500869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 76 2 58 2 22 2 4 2 (?)
a_n: 0 2 42 44 60 62 138 140 198 200 222 224 228 230
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: 230
Found by: xii5ku
db: batch=78, k=14, 40 16 76 58 22 4

SPT(16)	1518423779898681041	0 50 60 68 86 96 116 138 140 162 182 192 210 218 228 278	-1374096819828
SPT(16)	1518424139573313853	0 24 30 34 58 84 118 124 144 150 184 210 234 238 244 268	-1014422187016
STPT(12)	1518424369719594497	0 2 12 14 24 26 30 32 42 44 54 56	-784275906372
STPT(10)	1518424424910906839	0 2 18 20 30 32 42 44 60 62	-729084594030
TPT(14)	1518424652309938559	0 2 30 32 90 92 102 104 132 134 222 224 258 260	-501685562310
STPT(10)	1518425064414713051	0 2 36 38 78 80 120 122 156 158	-89580787818
SPT(16)	1518425399397497009	0 14 38 42 44 60 74 80 132 138 152 168 170 174 198 212	245401996140
SPT(16)	1518425487439869227	0 24 50 84 116 126 146 174 326 354 374 384 416 450 476 500	333444368358
SPT(16)	1518425522703157567	0 4 10 22 64 70 94 144 262 312 336 342 384 396 402 406	368707656698
SPT(16)	1518425599571156929	0 4 48 78 178 198 214 232 240 258 274 294 394 424 468 472	445575656060
SPT(16)	1518425974085406413	0 14 26 66 68 74 96 110 144 158 180 186 188 228 240 254	820089905544