Prime p₀= 725368054549053119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 10 2 16 2 40 2 16 2 10 2 (?)
a_n: 0 2 150 152 162 164 180 182 222 224 240 242 252 254
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: 254
Found by: jozef j
db: batch=73, k=14, 148 10 16 40 16 10

SPT(16)	725366662930688899	0 24 42 58 120 124 130 138 154 162 168 172 234 250 268 292	-1391618364220
STPT(10)	725367041492952449	0 2 42 44 90 92 138 140 180 182	-1013056100670
TPT(14)	725367882412332371	0 2 90 92 216 218 246 248 300 302 396 398 450 452	-172136720748
STPT(10)	725367893378862731	0 2 6 8 48 50 90 92 96 98	-161170190388
SPT(16)	725367917753054063	0 26 56 68 90 126 140 146 300 306 320 356 378 390 420 446	-136795999056
SPT(16)	725368011138040469	0 2 72 132 170 192 224 278 294 348 380 402 440 500 570 572	-43411012650
STPT(12)	725368054549053269	0 2 12 14 30 32 72 74 90 92 102 104	150
STPT(10)	725368150530472619	0 2 18 20 30 32 42 44 60 62	95981419500
STPT(10)	725368355463767339	0 2 18 20 30 32 42 44 60 62	300914714220
STPT(10)	725368559077869401	0 2 30 32 78 80 126 128 156 158	504528816282
SPT(16)	725368807906136161	0 28 40 102 130 138 150 192 196 238 250 258 286 348 360 388	753357083042