Prime p₀= 36568923166489529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: davidBAM
db: batch=65, k=10, 2 10 2 16 2

SPT(14)	36568884002956883	0 48 90 110 114 134 156 158 180 200 204 224 266 314	-39163532646
SPT(14)	36568893984373591	0 12 16 40 60 106 120 148 162 208 228 252 256 268	-29182115938
SPT(14)	36568894661844871	0 22 46 60 78 82 102 106 126 130 148 162 186 208	-28504644658
SPT(14)	36568897686388127	0 14 20 26 56 60 62 84 86 90 120 126 132 146	-25480101402
SPT(14)	36568905644280803	0 56 80 96 140 180 204 236 260 300 344 360 384 440	-17522208726
TPT(12)	36568908877040717	0 2 60 62 72 74 90 92 132 134 144 146	-14289448812
SPT(14)	36568942004584259	0 2 44 62 72 114 134 138 158 200 210 228 270 272	18838094730
SPT(14)	36568944843406427	0 20 26 90 92 96 104 162 170 174 176 240 246 266	21676916898
SPT(14)	36568950308449037	0 12 24 50 66 72 92 114 134 140 156 182 194 206	27141959508
SPT(14)	36568956325231921	0 16 28 30 42 48 52 96 100 106 118 120 132 148	33158742392
SPT(14)	36568989216158797	0 12 24 90 100 112 126 250 264 276 286 352 364 376	66049669268