Prime p₀= 2109585497074405121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(18)	2109583802050770217	0 30 42 72 102 156 172 186 196 216 226 240 256 310 340 370 382 412	-1695023634904
SPT(16)	2109584441305997759	0 38 42 60 102 104 108 140 192 224 228 230 272 290 294 332	-1055768407362
SPT(16)	2109584441876614861	0 6 12 30 142 196 198 226 312 340 342 396 508 526 532 538	-1055197790260
STPT(10)	2109584515217816177	0 2 60 62 102 104 144 146 204 206	-981856588944
STPT(10)	2109584567494693979	0 2 18 20 30 32 42 44 60 62	-929579711142
STPT(10)	2109584996756751221	0 2 36 38 78 80 120 122 156 158	-500317653900
TPT(14)	2109585546001048649	0 2 18 20 48 50 78 80 120 122 198 200 228 230	48926643528
TPT(14)	2109585748925358731	0 2 30 32 60 62 96 98 150 152 156 158 186 188	251850953610
STPT(10)	2109585832893226277	0 2 42 44 72 74 102 104 144 146	335818821156
SPT(13)	2109586165037357947	0 24 30 42 90 114 132 150 174 222 234 240 264	667962952826
SPT(16)	2109586596956391409	0 42 94 120 142 150 240 304 348 412 502 510 532 558 610 652	1099881986288