Prime p₀= 1067359987659526817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 10 2 10 2 58 2 64 2 (?)
a_n: 0 2 12 14 90 92 102 104 114 116 174 176 240 242
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: 242
Found by: Skivelitis2
db: batch=76, k=14, 10 76 10 10 58 64

SPT(16)	1067359149235524869	0 12 14 44 114 128 132 170 192 230 234 248 318 348 350 362	-838424001948
SPT(16)	1067359290938647363	0 4 16 46 54 76 90 144 196 250 264 286 294 324 336 340	-696720879454
SPT(20)	1067359578536938201	0 16 28 40 42 120 130 186 210 228 250 268 292 348 358 436 438 450 462 478	-409122588616
SPT(16)	1067359593778032431	0 2 38 78 108 120 170 188 192 210 260 272 302 342 378 380	-393881494386
SPT(16)	1067359780640747747	0 30 44 90 104 110 114 116 180 182 186 192 206 252 266 296	-207018779070
SPT(16)	1067359838286771493	0 18 24 28 70 90 136 150 214 228 274 294 336 340 346 364	-149372755324
SPT(16)	1067360048326483679	0 14 74 80 140 158 174 218 234 278 294 312 372 378 438 452	60666956862
STPT(10)	1067360219615170799	0 2 42 44 90 92 138 140 180 182	231955643982
SPT(16)	1067360575728611503	0 6 16 30 70 84 96 114 166 184 196 210 250 264 274 280	588069084686
TPT(14)	1067360718149771501	0 2 30 32 96 98 108 110 150 152 198 200 210 212	730490244684
SPT(16)	1067360765301328573	0 18 60 78 118 138 144 160 174 190 196 216 256 274 316 334	777641801756