Prime p₀= 2539588291302660737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2539587650030869717	0 4 6 12 34 42 66 90 136 160 184 192 214 220 222 226	-641271791020
SPT(16)	2539587773391777551	0 2 18 32 102 128 170 200 210 240 282 308 378 392 408 410	-517910883186
STPT(10)	2539587879102212927	0 2 30 32 102 104 174 176 204 206	-412200447810
STPT(10)	2539587892234402277	0 2 90 92 102 104 114 116 204 206	-399068258460
SPT(16)	2539587907740695827	0 42 54 64 66 144 196 252 274 330 382 460 462 472 484 526	-383561964910
SPT(18)	2539588235017050947	0 14 32 56 60 90 104 114 116 240 242 252 266 296 300 324 342 356	-56285609790
STPT(10)	2539588523978981999	0 2 18 20 30 32 42 44 60 62	232676321262
SPT(16)	2539588544859156209	0 14 18 30 42 90 104 110 132 138 152 200 212 224 228 242	253556495472
STPT(10)	2539588561866906227	0 2 60 62 72 74 84 86 144 146	270564245490
SPT(16)	2539588591873018181	0 18 68 80 122 216 248 270 278 300 332 426 468 480 530 548	300570357444
TPT(14)	2539588626282535799	0 2 30 32 138 140 270 272 318 320 402 404 420 422	334979875062