Prime p₀= 2025704425492519547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2025702823566031373	0 36 74 78 134 156 170 180 284 294 308 330 386 390 428 464	-1601926488174
SPT(16)	2025702834033020729	0 2 14 20 38 114 168 174 248 254 308 384 402 408 420 422	-1591459498818
SPT(16)	2025703467492050977	0 16 30 46 64 82 124 156 220 252 294 312 330 346 360 376	-958000468570
SPT(16)	2025703822984585013	0 36 50 74 78 96 98 116 138 156 158 176 180 204 218 254	-602507934534
STPT(10)	2025703971576816917	0 2 12 14 42 44 72 74 84 86	-453915702630
SPT(16)	2025704302207157269	0 10 12 18 42 60 112 118 144 150 202 220 244 250 252 262	-123285362278
SPT(16)	2025704482521091511	0 6 20 66 80 96 116 146 192 222 242 258 272 318 332 338	57028571964
SPT(16)	2025704574849725477	0 44 54 74 92 114 140 164 240 264 290 312 330 350 360 404	149357205930
STPT(10)	2025704963634019781	0 2 36 38 78 80 120 122 156 158	538141500234
SPT(16)	2025705432076445027	0 6 20 30 72 84 96 110 126 140 152 164 206 216 230 236	1006583925480
TPT(14)	2025705636832994531	0 2 6 8 48 50 120 122 198 200 216 218 240 242	1211340474984