Prime p₀= 1274500639642446857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 10 2 10 2 58 2 (?)
a_n: 0 2 12 14 54 56 90 92 102 104 114 116 174 176
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: 176
Found by: stoneageman
db: batch=77, k=14, 10 40 34 10 10 58

SPT(16)	1274498651547683071	0 60 72 76 100 102 132 142 186 196 226 228 252 256 268 328	-1988094763786
SPT(16)	1274498753259676961	0 18 20 38 60 78 80 98 108 126 128 146 168 186 188 206	-1886382769896
STPT(10)	1274500206208040699	0 2 18 20 30 32 42 44 60 62	-433434406158
SPT(16)	1274500250118727627	0 22 24 66 94 102 106 112 144 150 154 162 190 232 234 256	-389523719230
SPT(16)	1274500496146597723	0 6 58 84 100 124 126 136 138 148 150 174 190 216 268 274	-143495849134
SPT(16)	1274500554856028501	0 18 50 56 68 72 78 80 198 200 206 210 222 228 260 278	-84786418356
STPT(10)	1274500688338187081	0 2 36 38 78 80 120 122 156 158	48695740224
STPT(10)	1274500760680539869	0 2 72 74 120 122 168 170 240 242	121038093012
STPT(10)	1274501074596350147	0 2 30 32 42 44 54 56 84 86	434953903290
TPT(14)	1274501094765715937	0 2 30 32 72 74 162 164 180 182 222 224 234 236	455123269080
TPT(14)	1274501593403094101	0 2 6 8 210 212 258 260 276 278 336 338 348 350	953760647244