Prime p₀= 2283295612227131429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 28 2 76 2 58 2 28 2 (?)
a_n: 0 2 30 32 102 104 132 134 210 212 270 272 300 302
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: 302
Found by: Landjunge
db: batch=81, k=14, 28 70 28 76 58 28

SPT(16)	2283294051362922383	0 80 90 120 158 170 246 290 294 338 414 426 464 494 504 584	-1560864209046
TPT(14)	2283294103681446827	0 2 12 14 72 74 210 212 270 272 312 314 360 362	-1508545684602
STPT(10)	2283294436778321147	0 2 24 26 42 44 60 62 84 86	-1175448810282
SPT(16)	2283294509604653879	0 12 80 144 164 174 222 224 228 230 278 288 308 372 440 452	-1102622477550
SPT(16)	2283294668930353867	0 34 42 64 70 76 112 120 166 174 210 216 222 244 252 286	-943296777562
SPT(16)	2283295432500473779	0 34 40 72 82 100 124 160 204 240 264 282 292 324 330 364	-179726657650
STPT(10)	2283295673323154141	0 2 36 38 78 80 120 122 156 158	61096022712
TPT(14)	2283296042997917009	0 2 12 14 60 62 72 74 108 110 168 170 228 230	430770785580
TPT(14)	2283296275555450577	0 2 30 32 42 44 90 92 120 122 144 146 204 206	663328319148
SPT(16)	2283296484371571269	0 2 20 24 42 80 132 168 194 230 282 320 338 342 360 362	872144439840
SPT(16)	2283296516642589271	0 82 96 118 120 136 162 220 318 376 402 418 420 442 456 538	904415457842