Prime p₀= 789043125831280247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 16 2 28 2 28 2 (?)
a_n: 0 2 12 14 42 44 54 56 72 74 102 104 132 134
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: 134
Found by: [SG]FX
db: batch=73, k=14, 10 28 10 16 28 28

SPT(16)	789041714699965171	0 12 58 82 102 112 126 142 156 172 186 196 216 240 286 298	-1411131315076
SPT(16)	789042120751986529	0 4 52 58 84 88 114 120 172 178 204 208 234 240 288 292	-1005079293718
SPT(16)	789042192967306571	0 2 30 38 42 126 140 168 170 198 212 296 300 308 336 338	-932863973676
SPT(13)	789042455192360911	0 42 126 156 192 210 216 222 240 276 306 390 432	-670638919336
SPT(16)	789042743753344217	0 26 36 60 92 104 134 176 180 222 252 264 296 320 330 356	-382077936030
STPT(10)	789042992832287951	0 2 6 8 18 20 30 32 36 38	-132998992296
SPT(18)	789043405808437543	0 10 24 30 66 84 96 114 124 180 190 208 220 238 274 280 294 304	279977157296
STPT(10)	789044384542619507	0 2 42 44 162 164 282 284 324 326	1258711339260
STPT(10)	789044401355771777	0 2 60 62 72 74 84 86 144 146	1275524491530
SPT(16)	789044617612843909	0 22 42 52 70 78 94 114 148 168 184 192 210 220 240 262	1491781563662
SPT(16)	789044810892845131	0 10 22 28 36 106 130 150 238 258 282 352 360 366 378 388	1685061564884