Prime p₀= 2050700399360143409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 100 2 28 2 10 2 16 2 220 2 (?)
a_n: 0 2 138 140 240 242 270 272 282 284 300 302 522 524
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: 524
Found by: Landjunge
db: batch=80, k=14, 136 100 28 10 16 220

TPT(14)	2050698598080818039	0 2 72 74 102 104 168 170 222 224 228 230 258 260	-1801279325370
STPT(10)	2050698834691198589	0 2 18 20 30 32 42 44 60 62	-1564668944820
SPT(16)	2050698925042746703	0 18 60 64 118 130 148 154 180 186 204 216 270 274 316 334	-1474317396706
TPT(14)	2050699397993545391	0 2 30 32 96 98 156 158 240 242 336 338 360 362	-1001366598018
SPT(16)	2050699791146023163	0 24 38 54 80 104 116 126 128 138 150 174 200 216 230 254	-608214120246
STPT(10)	2050700306461610537	0 2 30 32 42 44 54 56 84 86	-92898532872
SPT(16)	2050700543835232997	0 24 30 42 44 54 86 122 144 180 212 222 224 236 242 266	144475089588
STPT(10)	2050701168490626719	0 2 18 20 240 242 462 464 480 482	769130483310
SPT(16)	2050701580915567739	0 20 42 48 132 188 200 230 312 342 354 410 494 500 522 542	1181555424330
SPT(16)	2050701907348802621	0 68 78 102 116 128 162 168 170 176 210 222 236 260 270 338	1507988659212
SPT(16)	2050702554323636777	0 32 50 90 102 132 210 246 266 302 380 410 422 462 480 512	2154963493368