Prime p₀= 2576843586438241817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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 28 2 40 2

SPT(16)	2576842218393444179	0 44 48 78 92 110 162 168 224 230 282 300 314 344 348 392	-1368044797638
STPT(10)	2576842367263658309	0 2 12 14 30 32 48 50 60 62	-1219174583508
STPT(10)	2576842478659935929	0 2 42 44 60 62 78 80 120 122	-1107778305888
SPT(16)	2576842568941126247	0 56 60 110 144 156 170 180 230 240 254 266 300 350 354 410	-1017497115570
SPT(16)	2576842818938910433	0 84 120 130 136 150 196 198 226 228 274 288 294 304 340 424	-767499331384
SPT(16)	2576843520545447203	0 4 58 78 100 138 144 166 168 190 196 234 256 276 330 334	-65892794614
STPT(10)	2576843748458373209	0 2 12 14 30 32 48 50 60 62	162020131392
STPT(10)	2576844020252036837	0 2 30 32 42 44 54 56 84 86	433813795020
STPT(10)	2576844362684205347	0 2 30 32 42 44 54 56 84 86	776245963530
SPT(16)	2576844572126735153	0 24 110 116 144 180 210 294 326 410 440 476 504 510 596 620	985688493336
STPT(10)	2576844750883873409	0 2 18 20 60 62 102 104 120 122	1164445631592