Prime p₀= 2365058115304224251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Coleslaw
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2365056326963492803	0 16 58 78 88 114 120 130 144 154 160 186 196 216 258 274	-1788340731448
SPT(16)	2365057157593956031	0 12 72 76 82 120 136 162 196 222 238 276 282 286 346 358	-957710268220
SPT(18)	2365057372524941069	0 48 50 72 132 138 174 204 224 288 308 338 374 380 440 462 464 512	-742779283182
SPT(16)	2365057483957836259	0 28 48 114 124 130 138 144 154 160 168 174 184 250 270 298	-631346387992
STPT(10)	2365057501274185979	0 2 48 50 60 62 72 74 120 122	-614030038272
SPT(16)	2365057876789513369	0 18 48 70 88 90 112 114 118 120 142 144 162 184 214 232	-238514710882
SPT(16)	2365058425105751357	0 26 36 66 80 90 126 132 170 176 212 222 236 266 276 302	309801527106
SPT(16)	2365058670766281019	0 12 28 48 132 180 202 228 322 348 370 418 502 522 538 550	555462056768
SPT(16)	2365058944941160067	0 20 200 224 270 276 290 332 354 396 410 416 462 486 666 686	829636935816
STPT(10)	2365059665827220627	0 2 42 44 72 74 102 104 144 146	1550522996376
SPT(16)	2365059844806636227	0 26 90 96 152 174 180 216 230 266 272 294 350 356 420 446	1729502411976