Prime p₀= 1013562523445668949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: HenkM
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1013561391919411631	0 2 6 8 18 20 30 32 36 38	-1131526257318
SPT(16)	1013561416899952181	0 30 42 60 62 128 162 248 252 338 372 438 440 458 470 500	-1106545716768
SPT(16)	1013561476284281753	0 48 56 90 98 114 138 156 188 206 230 246 254 288 296 344	-1047161387196
SPT(16)	1013562137516874641	0 26 42 50 66 72 86 90 128 132 146 152 168 176 192 218	-385928794308
STPT(10)	1013562307662820079	0 2 48 50 90 92 132 134 180 182	-215782848870
SPT(16)	1013562312758297909	0 24 32 98 102 110 132 140 192 200 222 230 234 300 308 332	-210687371040
TPT(14)	1013562542746538927	0 2 72 74 114 116 132 134 162 164 174 176 204 206	19300869978
STPT(10)	1013563148801612411	0 2 30 32 60 62 90 92 120 122	625355943462
STPT(10)	1013563254691471877	0 2 30 32 42 44 54 56 84 86	731245802928
STPT(10)	1013564037825258089	0 2 18 20 30 32 42 44 60 62	1514379589140
TPT(14)	1013564665346131361	0 2 36 38 66 68 150 152 156 158 180 182 246 248	2141900462412