Prime p₀= 2309036500178713157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2309034975663880337	0 26 54 60 66 74 90 110 180 200 216 224 230 236 264 290	-1524514832820
SPT(16)	2309035115815414141	0 36 60 100 172 190 240 246 256 262 312 330 402 442 466 502	-1384363299016
TPT(14)	2309035118288495141	0 2 30 32 96 98 138 140 150 152 180 182 198 200	-1381890218016
STPT(10)	2309035620674128469	0 2 48 50 90 92 132 134 180 182	-879504584688
STPT(10)	2309036003651959259	0 2 18 20 30 32 42 44 60 62	-496526753898
STPT(10)	2309036191927161791	0 2 6 8 48 50 90 92 96 98	-308251551366
SPT(16)	2309036605466022353	0 8 38 60 110 120 126 138 146 158 164 174 224 246 276 284	105287309196
STPT(10)	2309036991801030719	0 2 48 50 90 92 132 134 180 182	491622317562
SPT(16)	2309037467005699877	0 6 14 24 32 56 74 90 116 132 150 174 182 192 200 206	966826986720
STPT(10)	2309037561987996899	0 2 42 44 90 92 138 140 180 182	1061809283742
STPT(10)	2309037602756145431	0 2 30 32 78 80 126 128 156 158	1102577432274