Prime p₀= 887792785440028439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 4 2 58 2 40 2 28 2 (?)
a_n: 0 2 72 74 102 104 108 110 168 170 210 212 240 242
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: scrap
db: batch=73, k=14, 70 28 4 58 40 28

TPT(14)	887791529599818089	0 2 30 32 42 44 72 74 78 80 198 200 252 254	-1255840210350
STPT(10)	887791531267170557	0 2 24 26 42 44 60 62 84 86	-1254172857882
SPT(16)	887792101748491441	0 46 76 78 118 126 130 132 286 288 292 300 340 342 372 418	-683691536998
SPT(16)	887792250854962309	0 52 58 82 112 184 192 198 244 250 258 330 360 384 390 442	-534585066130
STPT(10)	887792496506747717	0 2 12 14 42 44 72 74 84 86	-288933280722
TPT(14)	887792639716835057	0 2 30 32 72 74 132 134 162 164 174 176 204 206	-145723193382
SPT(16)	887793059031647759	0 42 48 68 84 92 134 138 254 258 300 308 324 344 350 392	273591619320
SPT(16)	887793919201715381	0 42 72 98 108 150 162 188 192 218 230 272 282 308 338 380	1133761686942
SPT(16)	887793978454990723	0 34 54 100 124 138 156 174 190 208 226 240 264 310 330 364	1193014962284
SPT(16)	887794022050477889	0 12 20 32 48 62 72 90 140 158 168 182 198 210 218 230	1236610449450
SPT(16)	887794504356059539	0 12 64 70 88 114 120 142 210 232 238 264 282 288 340 352	1718916031100