Prime p₀= 789047391844506101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 94 2 28 2 10 2 10 2 88 2 (?)
a_n: 0 2 30 32 126 128 156 158 168 170 180 182 270 272
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: 272
Found by: [SG]FX
db: batch=73, k=14, 28 94 28 10 10 88

STPT(10)	789046657093985177	0 2 30 32 42 44 54 56 84 86	-734750520924
STPT(10)	789046664690156567	0 2 60 62 102 104 144 146 204 206	-727154349534
TPT(14)	789046825696067429	0 2 78 80 138 140 162 164 168 170 240 242 252 254	-566148438672
SPT(16)	789046833648567233	0 24 50 84 104 134 138 150 164 176 180 210 230 264 290 314	-558195938868
STPT(10)	789047150761285847	0 2 30 32 72 74 114 116 144 146	-241083220254
SPT(16)	789047176134309707	0 26 66 84 140 150 174 236 270 332 356 366 422 440 480 506	-215710196394
STPT(12)	789047473988494949	0 2 18 20 42 44 48 50 72 74 90 92	82143988848
SPT(16)	789047619723478109	0 2 8 38 102 144 150 164 198 212 218 260 324 354 360 362	227878972008
SPT(16)	789047663421425909	0 12 54 62 74 78 120 144 218 242 284 288 300 308 350 362	271576919808
SPT(16)	789047680551518429	0 2 18 74 90 104 132 192 230 290 318 332 348 404 420 422	288707012328
SPT(16)	789048078337409641	0 18 36 60 70 78 106 108 130 132 160 168 178 202 220 238	686492903540