Prime p₀= 1339773792441779111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 118 2 34 2 82 2 4 2 (?)
a_n: 0 2 30 32 60 62 180 182 216 218 300 302 306 308
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: 308
Found by: HenkM
db: batch=77, k=14, 28 28 118 34 82 4

SPT(16)	1339772434840825897	0 22 30 42 60 64 94 106 150 162 192 196 214 226 234 256	-1357600953214
SPT(16)	1339772459626888589	0 38 92 110 120 122 150 158 162 170 198 200 210 228 282 320	-1332814890522
TPT(14)	1339772859025632047	0 2 84 86 102 104 120 122 132 134 144 146 210 212	-933416147064
SPT(16)	1339773152369054749	0 30 52 64 78 82 108 112 150 154 180 184 198 210 232 262	-640072724362
SPT(16)	1339773689568463577	0 26 30 54 60 74 114 116 150 152 192 206 212 236 240 266	-102873315534
SPT(16)	1339773743193648457	0 16 70 90 106 112 132 144 172 184 204 210 226 246 300 316	-49248130654
STPT(10)	1339773866124236729	0 2 18 20 30 32 42 44 60 62	73682457618
STPT(10)	1339773931185351689	0 2 18 20 30 32 42 44 60 62	138743572578
STPT(10)	1339774103103945401	0 2 6 8 48 50 90 92 96 98	310662166290
STPT(10)	1339774136342471441	0 2 78 80 108 110 138 140 216 218	343900692330
SPT(16)	1339774154109549737	0 20 66 116 146 192 204 206 270 272 284 330 360 410 456 476	361667770626