Prime p₀= 2562711422442159797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2562710216164078949	0 2 42 44 90 92 138 140 180 182	-1206278080848
SPT(16)	2562710438953218893	0 8 36 54 80 86 104 126 218 240 258 264 290 308 336 344	-983488940904
SPT(16)	2562710590852427231	0 38 42 68 72 132 152 156 182 186 206 266 270 296 300 338	-831589732566
STPT(10)	2562711007502693657	0 2 30 32 42 44 54 56 84 86	-414939466140
STPT(10)	2562711096044992757	0 2 42 44 72 74 102 104 144 146	-326397167040
STPT(10)	2562711176017542029	0 2 18 20 30 32 42 44 60 62	-246424617768
SPT(16)	2562711706162969871	0 26 42 90 170 182 188 230 258 300 306 318 398 446 462 488	283720810074
STPT(10)	2562711991190393657	0 2 24 26 42 44 60 62 84 86	568748233860
SPT(16)	2562712536381836507	0 14 26 30 32 50 60 62 84 86 96 114 116 120 132 146	1113939676710
STPT(10)	2562712983349768097	0 2 30 32 60 62 90 92 120 122	1560907608300
SPT(16)	2562713667946295639	0 14 42 74 80 150 164 168 224 228 242 312 318 350 378 392	2245504135842