Prime p₀= 2949046719732753767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 118 2 52 2 34 2 22 2 (?)
a_n: 0 2 12 14 30 32 150 152 204 206 240 242 264 266
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: 266
Found by: arkiss
db: batch=82, k=14, 10 16 118 52 34 22

SPT(16)	2949045111934544627	0 2 12 26 42 56 96 102 110 116 156 170 186 200 210 212	-1607798209140
STPT(10)	2949045494610418937	0 2 30 32 42 44 54 56 84 86	-1225122334830
SPT(16)	2949045830869180481	0 60 90 102 132 152 168 182 186 200 216 236 266 278 308 368	-888863573286
SPT(16)	2949045851086914793	0 54 64 84 114 156 196 210 244 258 298 340 370 390 400 454	-868645838974
STPT(10)	2949046243764706649	0 2 12 14 90 92 168 170 180 182	-475968047118
SPT(16)	2949046447039024373	0 6 26 66 90 96 114 116 138 140 158 164 188 228 248 254	-272693729394
STPT(10)	2949047272193476499	0 2 42 44 90 92 138 140 180 182	552460722732
STPT(10)	2949047485470140669	0 2 18 20 30 32 42 44 60 62	765737386902
STPT(10)	2949047963358508367	0 2 42 44 72 74 102 104 144 146	1243625754600
STPT(10)	2949048084560747591	0 2 30 32 120 122 210 212 240 242	1364827993824
STPT(10)	2949048218230068347	0 2 30 32 42 44 54 56 84 86	1498497314580