Prime p₀= 1535407371107253167 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: crashtech
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1535407254868526057	0 20 42 126 186 222 240 266 300 326 344 380 440 524 546 566	-116238727110
STPT(10)	1535407259626845959	0 2 12 14 210 212 408 410 420 422	-111480407208
STPT(10)	1535407273470008669	0 2 132 134 150 152 168 170 300 302	-97637244498
STPT(10)	1535407338940649129	0 2 42 44 90 92 138 140 180 182	-32166604038
TPT(14)	1535407352526203081	0 2 48 50 90 92 120 122 126 128 156 158 198 200	-18581050086
STPT(12)	1535407352526203129	0 2 42 44 72 74 78 80 108 110 150 152	-18581050038
STPT(10)	1535407376719833899	0 2 18 20 60 62 102 104 120 122	5612580732
SPT(16)	1535407697679003263	0 8 24 78 90 108 114 120 134 140 146 164 176 230 246 254	326571750096
SPT(16)	1535407702012549531	0 6 28 60 78 102 106 118 180 192 196 220 238 270 292 298	330905296364
STPT(10)	1535408050768973387	0 2 30 32 42 44 54 56 84 86	679661720220
TPT(14)	1535408410133988281	0 2 6 8 78 80 90 92 126 128 168 170 180 182	1039026735114