Prime p₀= 2880838791828506939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 52 2 46 2 40 2 34 2 (?)
a_n: 0 2 48 50 78 80 132 134 180 182 222 224 258 260
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: 260
Found by: Landjunge
db: batch=82, k=14, 46 28 52 46 40 34

SPT(16)	2880837013028414717	0 14 56 90 96 140 186 200 210 224 270 314 320 354 396 410	-1778800092222
STPT(10)	2880837085583502047	0 2 30 32 72 74 114 116 144 146	-1706245004892
SPT(16)	2880837175445695951	0 36 66 72 78 90 160 172 216 228 298 310 316 322 352 388	-1616382810988
SPT(16)	2880837566508044029	0 132 138 150 210 220 238 252 370 384 402 412 472 484 490 622	-1225320462910
STPT(10)	2880838010356593641	0 2 6 8 48 50 90 92 96 98	-781471913298
STPT(10)	2880838489204039121	0 2 6 8 18 20 30 32 36 38	-302624467818
SPT(16)	2880838821829014667	0 54 76 82 84 136 150 214 252 316 330 382 384 390 412 466	30000507728
STPT(10)	2880839282696149601	0 2 30 32 78 80 126 128 156 158	490867642662
STPT(10)	2880839865859621451	0 2 30 32 60 62 90 92 120 122	1074031114512
SPT(16)	2880840214159013257	0 46 60 72 76 162 172 232 264 324 334 420 424 436 450 496	1422330506318
STPT(10)	2880840583104882491	0 2 30 32 60 62 90 92 120 122	1791276375552