Prime p₀= 2069692603673370437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 124 2 28 2 82 2 16 2 (?)
a_n: 0 2 12 14 24 26 150 152 180 182 264 266 282 284
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: 284
Found by: Landjunge
db: batch=80, k=14, 10 10 124 28 82 16

SPT(16)	2069691051125720569	0 18 40 42 70 82 144 148 204 208 270 282 310 312 334 352	-1552547649868
SPT(16)	2069691976245727397	0 50 84 120 152 156 222 224 282 284 350 354 386 422 456 506	-627427643040
STPT(10)	2069692208600393129	0 2 18 20 30 32 42 44 60 62	-395072977308
SPT(16)	2069692227565560167	0 44 56 72 84 150 192 216 230 254 296 362 374 390 402 446	-376107810270
STPT(10)	2069692266346347821	0 2 6 8 48 50 90 92 96 98	-337327022616
TPT(14)	2069692513698555971	0 2 66 68 108 110 156 158 276 278 318 320 390 392	-89974814466
STPT(10)	2069692658136503999	0 2 18 20 30 32 42 44 60 62	54463133562
SPT(16)	2069692857719394241	0 22 46 102 130 148 162 166 192 196 210 228 256 312 336 358	254046023804
SPT(16)	2069693075634428831	0 56 60 66 72 96 98 138 170 210 212 236 242 248 252 308	471961058394
STPT(10)	2069693182448152577	0 2 30 32 42 44 54 56 84 86	578774782140
SPT(16)	2069693306226281809	0 34 54 58 250 264 294 324 388 418 448 462 654 658 678 712	702552911372