Prime p₀= 2004231497698207469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 28 2 40 2 88 2 64 2 10 2 (?)
a_n: 0 2 150 152 180 182 222 224 312 314 378 380 390 392
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: 392
Found by: Landjunge
db: batch=80, k=14, 148 28 40 88 64 10

SPT(16)	2004229660912959323	0 8 30 48 54 96 116 120 194 198 218 260 266 284 306 314	-1836785248146
SPT(16)	2004230158156150571	0 12 20 36 38 50 78 92 96 110 138 150 152 168 176 188	-1339542056898
SPT(16)	2004230180598408079	0 30 58 94 100 102 114 130 132 148 160 162 168 204 232 262	-1317099799390
SPT(16)	2004230446161341089	0 24 42 58 72 84 150 154 198 202 268 280 294 310 328 352	-1051536866380
SPT(16)	2004230507863868621	0 8 122 192 218 282 308 320 390 402 428 492 518 588 702 710	-989834338848
STPT(10)	2004230612009999699	0 2 18 20 30 32 42 44 60 62	-885688207770
STPT(10)	2004231506515225259	0 2 18 20 30 32 42 44 60 62	8817017790
STPT(12)	2004231830927712599	0 2 12 14 42 44 48 50 78 80 90 92	333229505130
TPT(14)	2004231998914083137	0 2 12 14 42 44 84 86 132 134 174 176 210 212	501215875668
SPT(18)	2004232313641495517	0 26 72 170 224 236 242 270 326 360 416 444 450 462 516 614 660 686	815943288048
SPT(16)	2004232769585426747	0 24 42 80 90 92 104 152 162 210 222 224 234 272 290 314	1271887219278