Prime p₀= 756496727431769279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 10 2 118 2 4 2 28 2 (?)
a_n: 0 2 60 62 90 92 102 104 222 224 228 230 258 260
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: 260
Found by: GLeeM
db: batch=73, k=14, 58 28 10 118 4 28

STPT(10)	756496079187734927	0 2 30 32 42 44 54 56 84 86	-648244034352
STPT(10)	756496203135233549	0 2 18 20 30 32 42 44 60 62	-524296535730
STPT(10)	756496281078585329	0 2 42 44 60 62 78 80 120 122	-446353183950
TPT(14)	756496344751948439	0 2 42 44 60 62 72 74 78 80 132 134 168 170	-382679820840
STPT(10)	756496478031255887	0 2 72 74 102 104 132 134 204 206	-249400513392
STPT(10)	756496482351385547	0 2 90 92 102 104 114 116 204 206	-245080383732
SPT(16)	756496973289639013	0 18 40 60 124 150 154 168 190 204 208 234 298 318 340 358	245857869734
SPT(16)	756497206671976669	0 4 12 40 42 58 72 78 124 130 144 160 162 190 198 202	479240207390
SPT(16)	756497310477992879	0 20 32 38 74 78 80 108 134 162 164 168 204 210 222 242	583046223600
SPT(16)	756497389791736919	0 30 60 78 120 132 210 218 222 230 308 320 362 380 410 440	662359967640
SPT(16)	756497492681641003	0 28 46 60 76 88 126 144 160 178 216 228 244 258 276 304	765249871724