Prime p₀= 2375258422308938987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2375256650314081973	0 18 98 138 140 176 216 218 228 230 270 306 308 348 428 446	-1771994857014
STPT(10)	2375257340061787001	0 2 6 8 18 20 30 32 36 38	-1082247151986
SPT(16)	2375257401245811437	0 12 24 66 104 134 144 150 176 182 192 222 260 302 314 326	-1021063127550
STPT(10)	2375257652493485531	0 2 36 38 78 80 120 122 156 158	-769815453456
SPT(16)	2375257757746184459	0 2 24 38 54 78 128 168 194 234 284 308 324 338 360 362	-664562754528
SPT(16)	2375257833326094671	0 6 36 48 56 96 110 140 168 198 212 252 260 272 302 308	-588982844316
SPT(16)	2375258564757993133	0 16 24 58 70 114 120 136 258 274 280 324 336 370 378 394	142449054146
SPT(16)	2375258762684126723	0 50 54 66 98 110 138 140 174 176 204 216 248 260 264 314	340375187736
TPT(14)	2375258918496563039	0 2 42 44 120 122 132 134 210 212 222 224 288 290	496187624052
STPT(10)	2375259243649371851	0 2 30 32 78 80 126 128 156 158	821340432864
TPT(14)	2375259628567612091	0 2 30 32 48 50 60 62 90 92 186 188 216 218	1206258673104