Prime p₀= 1085428151322366029 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 22 2 4 2 208 2 22 2 (?)
a_n: 0 2 90 92 138 140 162 164 168 170 378 380 402 404
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: 404
Found by: Theadalus
db: batch=76, k=14, 88 46 22 4 208 22

STPT(10)	1085427150338551619	0 2 18 20 30 32 42 44 60 62	-1000983814410
TPT(14)	1085427414287541467	0 2 60 62 84 86 102 104 114 116 132 134 174 176	-737034824562
TPT(14)	1085427454316987471	0 2 6 8 96 98 198 200 228 230 258 260 378 380	-697005378558
SPT(16)	1085427548068616041	0 18 42 76 90 126 156 172 216 232 262 298 312 346 370 388	-603253749988
SPT(16)	1085427807807246347	0 2 6 42 54 96 134 212 264 342 380 422 434 470 474 476	-343515119682
STPT(10)	1085428097139424991	0 2 78 80 138 140 198 200 276 278	-54182941038
SPT(16)	1085428379525803969	0 18 28 90 130 132 138 178 204 244 250 252 292 354 364 382	228203437940
SPT(16)	1085428984059668371	0 12 16 18 22 30 40 58 60 78 88 96 100 102 106 118	832737302342
SPT(16)	1085429163144905573	0 8 24 44 54 66 74 96 98 120 128 140 150 170 186 194	1011822539544
SPT(16)	1085429260250944393	0 4 10 24 108 114 120 166 168 214 220 226 310 324 330 334	1108928578364
SPT(16)	1085429279025306031	0 22 40 76 90 108 112 148 150 186 190 208 222 258 276 298	1127702940002