Prime p₀= 2338577457883831667 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: arkiss
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2338575938331317029	0 4 64 70 88 100 108 120 178 190 198 210 228 234 294 298	-1519552514638
TPT(14)	2338576340165933249	0 2 30 32 42 44 90 92 198 200 222 224 348 350	-1117717898418
SPT(16)	2338576721039099491	0 18 42 46 58 112 130 142 156 168 186 240 252 256 280 298	-736844732176
STPT(10)	2338576848201162419	0 2 48 50 90 92 132 134 180 182	-609682669248
SPT(16)	2338576954061942723	0 6 8 20 26 68 126 150 164 188 246 288 294 306 308 314	-503821888944
STPT(10)	2338577453270461721	0 2 36 38 108 110 180 182 216 218	-4613369946
SPT(16)	2338577936767973323	0 36 40 76 90 100 114 148 216 250 264 274 288 324 328 364	478884141656
STPT(10)	2338577989731328517	0 2 30 32 42 44 54 56 84 86	531847496850
STPT(10)	2338578084534878189	0 2 48 50 90 92 132 134 180 182	626651046522
TPT(14)	2338578113053918607	0 2 42 44 54 56 144 146 180 182 222 224 252 254	655170086940
STPT(10)	2338578130943294291	0 2 6 8 18 20 30 32 36 38	673059462624