Prime p₀= 775000555997823107 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: jozef j
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	774999184587088759	0 58 78 90 114 132 168 174 238 244 280 298 322 334 354 412	-1371410734348
SPT(16)	774999339989366171	0 26 36 38 50 96 140 168 248 276 320 366 378 380 390 416	-1216008456936
SPT(16)	774999507488545061	0 6 8 56 66 78 90 116 132 158 170 182 192 240 242 248	-1048509278046
SPT(16)	774999835832930209	0 10 12 24 102 112 124 130 144 150 162 172 250 262 264 274	-720164892898
STPT(10)	775000087020892529	0 2 18 20 30 32 42 44 60 62	-468976930578
STPT(10)	775000171288140767	0 2 12 14 72 74 132 134 144 146	-384709682340
SPT(16)	775000579596744101	0 18 80 96 110 122 132 168 170 206 216 228 242 258 320 338	23598920994
STPT(10)	775000759632540557	0 2 84 86 132 134 180 182 264 266	203634717450
STPT(10)	775001071977180239	0 2 72 74 120 122 168 170 240 242	515979357132
SPT(16)	775001150037577847	0 24 74 80 104 194 222 230 234 242 270 360 384 390 440 464	594039754740
TPT(14)	775001378708728271	0 2 48 50 78 80 90 92 126 128 156 158 216 218	822710905164