Prime p₀= 3741472500885401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 16 2 40 2 94 2 40 2 (?)
a_n: 0 2 36 38 60 62 78 80 120 122 216 218 258 260
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: 260
Found by: 4ys
db: batch=61, k=14, 34 22 16 40 94 40

SPT(14)	3741450062831521	0 10 66 88 108 120 126 190 196 208 228 250 306 316	-22438053880
SPT(14)	3741450571592813	0 14 24 50 66 74 80 120 126 134 150 176 186 200	-21929292588
SPT(14)	3741454268029969	0 10 12 40 78 82 108 124 150 154 192 220 222 232	-18232855432
TPT(12)	3741455451525689	0 2 60 62 78 80 132 134 162 164 198 200	-17049359712
TPT(12)	3741463783766309	0 2 30 32 42 44 72 74 102 104 108 110	-8717119092
TPT(12)	3741465236876909	0 2 12 14 78 80 168 170 222 224 258 260	-7264008492
SPT(14)	3741473907117299	0 8 14 20 48 72 78 104 110 134 162 168 174 182	1406231898
SPT(14)	3741476441484641	0 6 32 38 48 56 62 126 132 140 150 156 182 188	3940599240
SPT(14)	3741482252251057	0 52 100 132 136 150 156 196 202 216 220 252 300 352	9751365656
SPT(14)	3741487971115991	0 18 56 78 98 108 126 200 218 228 248 270 308 326	15470230590
SPT(14)	3741498251747821	0 6 60 78 90 96 108 148 160 166 178 196 250 256	25750862420