Prime p₀= 2017033330965735947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 46 2 40 2 64 2 40 2 (?)
a_n: 0 2 12 14 54 56 102 104 144 146 210 212 252 254
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: Landjunge
db: batch=80, k=14, 10 40 46 40 64 40

SPT(16)	2017031388900852187	0 12 54 94 100 112 114 132 142 160 162 174 180 220 262 274	-1942064883760
STPT(10)	2017032072117160139	0 2 18 20 30 32 42 44 60 62	-1258848575808
STPT(10)	2017032195681522779	0 2 48 50 90 92 132 134 180 182	-1135284213168
SPT(16)	2017032367494544649	0 12 20 30 54 62 74 98 174 198 210 218 242 252 260 272	-963471191298
SPT(16)	2017032466762907681	0 2 20 26 36 68 80 98 120 138 150 182 192 198 216 218	-864202828266
STPT(10)	2017033031851063139	0 2 12 14 90 92 168 170 180 182	-299114672808
STPT(10)	2017033426503000749	0 2 18 20 30 32 42 44 60 62	95537264802
SPT(16)	2017033540868104313	0 8 14 78 80 98 140 144 164 168 210 228 230 294 300 308	209902368366
STPT(10)	2017033869514627721	0 2 6 8 18 20 30 32 36 38	538548891774
SPT(16)	2017033909903090483	0 6 34 40 66 124 160 166 168 174 210 268 294 300 328 334	578937354536
SPT(16)	2017033931849727337	0 52 54 100 114 144 166 184 222 240 262 292 306 352 354 406	600883991390