Prime p₀= 2025644721919708031 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: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2025643292318574823	0 10 16 34 58 66 94 126 208 240 268 276 300 318 324 334	-1429601133208
SPT(16)	2025643590007058687	0 12 14 24 26 56 116 122 144 150 210 240 242 252 254 266	-1131912649344
STPT(10)	2025643702595872361	0 2 30 32 60 62 90 92 120 122	-1019323835670
SPT(16)	2025643741654315103	0 80 116 128 156 168 198 210 254 266 296 308 336 348 384 464	-980265392928
SPT(16)	2025643888861405507	0 4 10 60 112 136 142 156 190 204 210 234 286 336 342 346	-833058302524
STPT(10)	2025644605962172757	0 2 42 44 72 74 102 104 144 146	-115957535274
STPT(10)	2025644841604893371	0 2 36 38 78 80 120 122 156 158	119685185340
SPT(16)	2025644858487121351	0 36 72 82 90 156 172 186 226 240 256 322 330 340 376 412	136567413320
STPT(10)	2025644903267357969	0 2 18 20 60 62 102 104 120 122	181347649938
TPT(14)	2025644947990073651	0 2 150 152 168 170 216 218 330 332 336 338 390 392	226070365620
STPT(10)	2025645560009921819	0 2 12 14 30 32 48 50 60 62	838090213788