Prime p₀= 950470120883695859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 82 2 106 2 16 2 22 2 (?)
a_n: 0 2 12 14 18 20 102 104 210 212 228 230 252 254
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: 254
Found by: stoneageman
db: batch=76, k=14, 10 4 82 106 16 22

SPT(16)	950468678814009059	0 24 48 74 78 108 144 158 210 224 260 290 294 320 344 368	-1442069686800
STPT(10)	950468947590814427	0 2 12 14 42 44 72 74 84 86	-1173292881432
STPT(10)	950469691048612211	0 2 36 38 78 80 120 122 156 158	-429835083648
STPT(10)	950469838321326287	0 2 30 32 42 44 54 56 84 86	-282562369572
TPT(14)	950469929479306877	0 2 12 14 42 44 54 56 180 182 312 314 342 344	-191404388982
TPT(14)	950469980697915371	0 2 78 80 126 128 150 152 198 200 330 332 348 350	-140185780488
SPT(16)	950470140541463561	0 48 78 90 140 152 180 192 206 218 246 258 308 320 350 398	19657767702
STPT(10)	950470212369231947	0 2 30 32 42 44 54 56 84 86	91485536088
SPT(16)	950470346169910451	0 8 12 56 92 110 120 132 146 158 168 186 222 266 270 278	225286214592
STPT(10)	950470624723546637	0 2 60 62 72 74 84 86 144 146	503839850778
SPT(16)	950470809744908129	0 2 12 14 20 42 44 72 80 108 110 132 138 140 150 152	688861212270