Prime p₀= 2309036991801030719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: Landjunge
db: batch=81, k=10, 2 46 2 40 2

TPT(14)	2309035118288495141	0 2 30 32 96 98 138 140 150 152 180 182 198 200	-1873512535578
STPT(10)	2309035620674128469	0 2 48 50 90 92 132 134 180 182	-1371126902250
STPT(10)	2309036003651959259	0 2 18 20 30 32 42 44 60 62	-988149071460
STPT(10)	2309036191927161791	0 2 6 8 48 50 90 92 96 98	-799873868928
STPT(10)	2309036500178713157	0 2 30 32 72 74 114 116 144 146	-491622317562
SPT(16)	2309036605466022353	0 8 38 60 110 120 126 138 146 158 164 174 224 246 276 284	-386335008366
SPT(16)	2309037467005699877	0 6 14 24 32 56 74 90 116 132 150 174 182 192 200 206	475204669158
STPT(10)	2309037561987996899	0 2 42 44 90 92 138 140 180 182	570186966180
STPT(10)	2309037602756145431	0 2 30 32 78 80 126 128 156 158	610955114712
SPT(16)	2309037639363421249	0 64 72 90 100 108 138 178 264 304 334 342 352 370 378 442	647562390530
SPT(16)	2309037832775358271	0 28 46 48 58 66 70 100 168 198 202 210 220 222 240 268	840974327552