Prime p₀= 1019866087160342087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: HenkM
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1019864671458405427	0 22 40 64 100 114 130 142 144 156 172 186 222 246 264 286	-1415701936660
SPT(16)	1019864711097560567	0 12 42 120 126 150 206 222 290 306 362 386 392 470 500 512	-1376062781520
STPT(10)	1019864811791753657	0 2 30 32 72 74 114 116 144 146	-1275368588430
SPT(16)	1019864923427973341	0 12 102 138 222 242 258 272 306 320 336 356 440 476 566 578	-1163732368746
STPT(10)	1019865090508705667	0 2 30 32 72 74 114 116 144 146	-996651636420
SPT(16)	1019865378716031157	0 4 136 142 156 162 192 220 246 274 304 310 324 330 462 466	-708444310930
STPT(10)	1019866240549838579	0 2 42 44 60 62 78 80 120 122	153389496492
SPT(16)	1019866574865807007	0 10 16 30 34 52 94 106 120 132 174 192 196 210 216 226	487705464920
STPT(10)	1019866924488257141	0 2 6 8 18 20 30 32 36 38	837327915054
TPT(14)	1019866965923731697	0 2 102 104 114 116 252 254 270 272 300 302 354 356	878763389610
STPT(10)	1019866989484403111	0 2 6 8 18 20 30 32 36 38	902324061024