Prime p₀= 922946352597832919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 220 2 58 2 64 2 28 2 10 2 (?)
a_n: 0 2 30 32 252 254 312 314 378 380 408 410 420 422
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: 422
Found by: Theadalus
db: batch=76, k=14, 28 220 58 64 28 10

TPT(14)	922945267132572839	0 2 42 44 78 80 138 140 198 200 210 212 288 290	-1085465260080
STPT(10)	922945427277712841	0 2 30 32 60 62 90 92 120 122	-925320120078
SPT(16)	922945869093378787	0 40 52 54 60 70 72 94 132 154 156 166 172 174 186 226	-483504454132
SPT(16)	922945906392859913	0 18 20 36 78 84 98 144 200 246 260 266 308 324 326 344	-446204973006
STPT(10)	922946071304833781	0 2 6 8 18 20 30 32 36 38	-281292999138
SPT(16)	922946100043225873	0 6 10 40 60 66 114 136 174 196 244 250 270 300 304 310	-252554607046
STPT(10)	922946659745688659	0 2 12 14 90 92 168 170 180 182	307147855740
STPT(10)	922946723434903157	0 2 12 14 42 44 72 74 84 86	370837070238
STPT(10)	922946826007983989	0 2 42 44 60 62 78 80 120 122	473410151070
SPT(16)	922946991331673227	0 10 36 76 90 126 132 156 160 184 190 226 240 280 306 316	638733840308
STPT(10)	922947641313999407	0 2 30 32 42 44 54 56 84 86	1288716166488