Prime p₀= 2189323734557388419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 112 2 46 2 40 2 16 2 (?)
a_n: 0 2 12 14 18 20 132 134 180 182 222 224 240 242
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: [SG-FC] hl
db: batch=81, k=14, 10 4 112 46 40 16

STPT(10)	2189322171697905887	0 2 30 32 42 44 54 56 84 86	-1562859482532
TPT(14)	2189322176950449941	0 2 78 80 96 98 138 140 180 182 210 212 240 242	-1557606938478
SPT(16)	2189322263984510917	0 10 12 34 70 82 100 132 184 216 234 246 282 304 306 316	-1470572877502
SPT(16)	2189322601607273191	0 22 42 48 78 82 132 156 202 226 276 280 310 316 336 358	-1132950115228
SPT(16)	2189322782513268859	0 52 130 150 172 204 228 262 270 304 328 360 382 402 480 532	-952044119560
SPT(16)	2189322953863826321	0 36 60 66 72 120 176 182 186 192 248 296 302 308 332 368	-780693562098
SPT(20)	2189323809613204291	0 10 66 108 112 172 180 238 306 312 346 352 420 478 486 546 550 592 648 658	75055815872
STPT(10)	2189323982680232537	0 2 42 44 72 74 102 104 144 146	248122844118
SPT(16)	2189324041720610537	0 2 26 42 72 80 152 182 264 294 366 374 404 420 444 446	307163222118
SPT(16)	2189324432863976851	0 18 28 36 46 120 136 150 196 210 226 300 310 318 328 346	698306588432
STPT(10)	2189324496177783917	0 2 30 32 42 44 54 56 84 86	761620395498