Prime p₀= 2112098870586169649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Landjunge
db: batch=80, k=10, 2 40 2 76 2

SPT(16)	2112097972673710909	0 30 34 42 94 132 154 238 264 348 370 408 460 468 472 502	-897912458740
SPT(16)	2112098262676814641	0 60 78 102 106 108 130 132 166 168 190 192 196 220 238 298	-607909355008
SPT(16)	2112098351082978989	0 42 48 84 92 132 162 194 198 230 260 300 308 344 350 392	-519503190660
SPT(16)	2112098417800152637	0 60 66 70 172 186 190 196 276 282 286 300 402 406 412 472	-452786017012
STPT(12)	2112098436629090309	0 2 30 32 78 80 162 164 210 212 240 242	-433957079340
SPT(16)	2112098711203879129	0 34 64 70 72 78 84 90 112 118 124 130 132 138 168 202	-159382290520
SPT(16)	2112099029482592999	0 2 84 98 104 122 134 140 192 198 210 228 234 248 330 332	158896423350
SPT(16)	2112099322854930517	0 6 70 84 120 166 180 196 210 226 240 286 322 336 400 406	452268760868
SPT(16)	2112099594026006917	0 30 34 52 70 124 142 154 180 192 210 264 282 300 304 334	723439837268
TPT(14)	2112099633792930569	0 2 30 32 102 104 138 140 210 212 270 272 348 350	763206760920
STPT(10)	2112099773222661029	0 2 90 92 150 152 210 212 300 302	902636491380