Prime p₀= 2712225761381304167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2712224419217603053	0 18 24 40 108 144 154 180 184 210 220 256 324 340 346 364	-1342163701114
SPT(18)	2712224429310249097	0 34 84 96 114 144 154 210 216 220 226 282 292 322 340 352 402 436	-1332071055070
STPT(10)	2712224456906119451	0 2 6 8 18 20 30 32 36 38	-1304475184716
SPT(16)	2712225515045649601	0 6 12 40 60 70 108 118 180 190 228 238 258 286 292 298	-246335654566
SPT(16)	2712225614089816633	0 4 34 40 64 70 84 90 118 124 138 144 168 174 204 208	-147291487534
SPT(16)	2712225692773893223	0 28 30 78 88 120 126 130 156 160 166 198 208 256 258 286	-68607410944
TPT(14)	2712225834781783079	0 2 12 14 42 44 48 50 90 92 180 182 198 200	73400478912
SPT(16)	2712226040820788983	0 58 96 154 168 196 210 226 288 304 318 346 360 418 456 514	279439484816
SPT(16)	2712226061855963293	0 28 34 36 88 90 106 114 130 138 154 156 208 210 216 244	300474659126
SPT(16)	2712226166375601067	0 12 24 54 66 112 136 156 220 240 264 310 322 352 364 376	404994296900
STPT(10)	2712226346485857821	0 2 6 8 48 50 90 92 96 98	585104553654