Prime p₀= 2115021749024728301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 160 2 160 2 4 2 (?)
a_n: 0 2 6 8 168 170 330 332 336 338
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: 338
Found by: Landjunge
db: batch=80, k=10, 2 4 2 160 2

SPT(16)	2115018187277942651	0 20 26 56 60 126 150 206 210 266 290 356 360 390 396 416	-3561746785650
SPT(16)	2115018617575683961	0 12 30 52 58 78 88 120 130 162 172 192 198 220 238 250	-3131449044340
SPT(16)	2115019117331896103	0 48 60 74 80 86 96 110 144 158 168 174 180 194 206 254	-2631692832198
SPT(16)	2115019267330004663	0 8 14 18 38 90 108 140 144 176 194 246 266 270 276 284	-2481694723638
SPT(16)	2115021024101904587	0 12 30 104 126 132 140 174 182 216 224 230 252 326 344 356	-724922823714
STPT(10)	2115021198025712531	0 2 36 38 78 80 120 122 156 158	-550999015770
SPT(16)	2115021866385812567	0 42 56 86 102 120 170 206 240 276 326 344 360 390 404 446	117361084266
STPT(10)	2115022412182094687	0 2 30 32 42 44 54 56 84 86	663157366386
SPT(16)	2115022427728977577	0 6 52 70 84 90 100 174 202 276 286 292 306 324 370 376	678704249276
SPT(18)	2115023042197891873	0 4 24 34 46 60 90 124 208 216 300 334 364 378 390 400 420 424	1293173163572
SPT(16)	2115023478283215781	0 12 66 142 178 186 190 208 210 228 232 240 276 352 406 418	1729258487480