Prime p₀= 1137795325655372957 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1137794045390188871	0 6 66 68 116 146 168 180 236 248 270 300 348 350 410 416	-1280265184086
STPT(12)	1137794190060021671	0 2 60 62 90 92 126 128 156 158 216 218	-1135595351286
STPT(10)	1137794249838899867	0 2 30 32 42 44 54 56 84 86	-1075816473090
SPT(16)	1137794402430632377	0 4 22 34 60 100 124 142 144 162 186 226 252 264 282 286	-923224740580
SPT(16)	1137795080957044969	0 30 40 54 60 70 84 154 174 244 258 268 274 288 298 328	-244698327988
STPT(10)	1137795261688451711	0 2 36 38 78 80 120 122 156 158	-63966921246
STPT(10)	1137795447352449671	0 2 30 32 60 62 90 92 120 122	121697076714
SPT(16)	1137795501382894931	0 2 42 78 110 120 140 146 162 168 188 198 230 266 306 308	175727521974
STPT(10)	1137795799138351049	0 2 48 50 90 92 132 134 180 182	473482978092
SPT(16)	1137795822340542359	0 2 8 42 74 78 164 168 194 198 284 288 320 354 360 362	496685169402
SPT(16)	1137795839670624703	0 6 84 90 100 136 150 184 246 280 294 330 340 346 424 430	514015251746