Prime p₀= 2518386130381205741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 46 2 58 2 22 2 76 2 118 2 (?)
a_n: 0 2 18 20 66 68 126 128 150 152 228 230 348 350
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: Penguin
db: batch=82, k=14, 16 46 58 22 76 118

SPT(16)	2518383366672542279	0 72 80 102 108 122 158 180 182 204 240 254 260 282 290 362	-2763708663462
SPT(16)	2518383624416539303	0 28 54 58 76 84 100 114 130 144 160 168 186 190 216 244	-2505964666438
STPT(10)	2518385082590187257	0 2 42 44 72 74 102 104 144 146	-1047791018484
STPT(10)	2518385269943936579	0 2 18 20 30 32 42 44 60 62	-860437269162
SPT(16)	2518385425160666681	0 32 48 60 96 146 170 198 200 228 252 302 338 350 366 398	-705220539060
STPT(12)	2518385670516807059	0 2 12 14 42 44 48 50 78 80 90 92	-459864398682
SPT(16)	2518386215912564743	0 4 28 76 84 88 148 204 280 336 396 400 408 456 480 484	85531359002
SPT(16)	2518386357335614127	0 24 42 60 62 90 92 116 150 174 176 204 206 224 242 266	226954408386
STPT(10)	2518386454293843821	0 2 30 32 120 122 210 212 240 242	323912638080
SPT(16)	2518387431960491353	0 10 28 64 70 78 94 96 208 210 226 234 240 276 294 304	1301579285612
STPT(10)	2518387532094222791	0 2 36 38 78 80 120 122 156 158	1401713017050