Prime p₀= 2081942163984221309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 58 2 28 2 10 2 10 2 46 2 (?)
a_n: 0 2 78 80 138 140 168 170 180 182 192 194 240 242
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: Landjunge
db: batch=80, k=14, 76 58 28 10 10 46

STPT(10)	2081941006536356489	0 2 18 20 30 32 42 44 60 62	-1157447864820
TPT(14)	2081941168394758469	0 2 12 14 42 44 192 194 600 602 630 632 660 662	-995589462840
TPT(14)	2081941625439203651	0 2 30 32 48 50 60 62 168 170 210 212 270 272	-538545017658
SPT(16)	2081941718476280887	0 4 10 22 64 94 162 172 234 244 312 342 384 396 402 406	-445507940422
SPT(16)	2081941754966944193	0 56 108 138 140 156 180 206 240 266 290 306 308 338 390 446	-409017277116
STPT(10)	2081941904589109601	0 2 96 98 108 110 120 122 216 218	-259395111708
SPT(16)	2081942432834012233	0 16 18 24 58 70 78 106 108 136 144 156 190 196 198 214	268849790924
STPT(10)	2081942527024010921	0 2 6 8 48 50 90 92 96 98	363039789612
SPT(16)	2081942541437843957	0 6 20 56 92 104 116 234 242 360 372 384 420 456 470 476	377453622648
SPT(16)	2081942580326498927	0 14 44 50 66 90 120 144 146 170 200 224 240 246 276 290	416342277618
TPT(14)	2081942985668114627	0 2 102 104 144 146 210 212 312 314 354 356 414 416	821683893318