Prime p₀= 2556449181610008869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2556448489708581071	0 42 80 92 120 140 146 156 182 192 198 218 246 258 296 338	-691901427798
STPT(10)	2556448777609292087	0 2 30 32 42 44 54 56 84 86	-404000716782
STPT(10)	2556448865844237281	0 2 30 32 78 80 126 128 156 158	-315765771588
STPT(10)	2556448974460901159	0 2 48 50 90 92 132 134 180 182	-207149107710
STPT(10)	2556448983302215271	0 2 6 8 48 50 90 92 96 98	-198307793598
SPT(16)	2556449078221603091	0 8 30 92 102 158 198 228 230 260 300 356 366 428 450 458	-103388405778
SPT(16)	2556449456244859829	0 2 8 92 98 108 122 164 168 210 224 234 240 324 330 332	274634850960
TPT(14)	2556449458632384881	0 2 96 98 168 170 366 368 408 410 516 518 570 572	277022376012
SPT(16)	2556449469207338191	0 22 42 48 60 78 88 102 106 120 130 148 160 166 186 208	287597329322
STPT(10)	2556449702056130891	0 2 6 8 48 50 90 92 96 98	520446122022
SPT(18)	2556449778628759939	0 34 60 100 118 142 154 184 204 238 258 288 300 324 342 382 408 442	597018751070