Prime p₀= 2279026220247199067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 148 2 28 2 28 2 (?)
a_n: 0 2 12 14 30 32 54 56 204 206 234 236 264 266
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: 266
Found by: Orange Kid
db: batch=81, k=14, 10 16 22 148 28 28

STPT(10)	2279025293056094237	0 2 54 56 72 74 90 92 144 146	-927191104830
STPT(10)	2279025644056877171	0 2 30 32 78 80 126 128 156 158	-576190321896
TPT(14)	2279025701350772837	0 2 84 86 180 182 210 212 222 224 234 236 264 266	-518896426230
STPT(10)	2279025701350773017	0 2 30 32 42 44 54 56 84 86	-518896426050
STPT(10)	2279025903582544547	0 2 30 32 72 74 114 116 144 146	-316664654520
SPT(16)	2279026197059176133	0 24 44 48 66 86 104 144 170 210 228 248 266 270 290 314	-23188022934
SPT(16)	2279026472939445857	0 12 42 56 90 110 132 206 540 614 636 656 690 704 734 746	252692246790
SPT(18)	2279026857671779619	0 32 92 98 120 138 144 162 222 230 290 308 314 332 354 360 420 452	637424580552
SPT(16)	2279027337709988189	0 2 24 38 42 74 104 134 198 228 258 290 294 308 330 332	1117462789122
STPT(10)	2279027847133500011	0 2 6 8 48 50 90 92 96 98	1626886300944
STPT(10)	2279027949256290731	0 2 36 38 78 80 120 122 156 158	1729009091664