Prime p₀= 1127376761241156989 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 58 2 10 2 58 2 64 2 22 2 (?)
a_n: 0 2 120 122 180 182 192 194 252 254 318 320 342 344
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: 344
Found by: Theadalus
db: batch=76, k=14, 118 58 10 58 64 22

SPT(16)	1127375355161952857	0 36 56 60 102 176 192 204 212 224 240 314 356 360 380 416	-1406079204132
SPT(16)	1127375508850927669	0 22 54 114 120 144 172 222 232 282 310 334 340 400 432 454	-1252390229320
SPT(16)	1127375616488417237	0 32 36 50 104 116 156 186 200 230 270 282 336 350 354 386	-1144752739752
SPT(16)	1127376191818474783	0 34 58 66 96 118 126 138 196 208 216 238 268 276 300 334	-569422682206
SPT(16)	1127376493835931421	0 10 52 76 90 106 108 136 162 190 192 208 222 246 288 298	-267405225568
SPT(16)	1127376590548598443	0 16 34 54 60 76 88 100 114 126 138 154 160 180 198 214	-170692558546
TPT(14)	1127376801379407911	0 2 90 92 96 98 120 122 126 128 288 290 378 380	40138250922
STPT(10)	1127376820861684847	0 2 24 26 42 44 60 62 84 86	59620527858
TPT(14)	1127377061627827037	0 2 60 62 210 212 222 224 252 254 294 296 354 356	300386670048
SPT(16)	1127377223998352153	0 14 24 66 80 110 126 140 150 164 180 210 224 266 276 290	462757195164
STPT(10)	1127377599366590399	0 2 42 44 60 62 78 80 120 122	838125433410