Prime p₀= 1246496245592228249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Dr Who Fan
db: batch=77, k=10, 2 10 2 76 2

STPT(10)	1246494500333866841	0 2 36 38 78 80 120 122 156 158	-1745258361408
SPT(16)	1246494803688623743	0 60 70 88 114 126 130 144 160 174 178 190 216 234 244 304	-1441903604506
SPT(16)	1246495262079333971	0 38 78 90 96 110 132 176 222 266 288 302 308 320 360 398	-983512894278
STPT(10)	1246495546239705257	0 2 12 14 42 44 72 74 84 86	-699352522992
STPT(10)	1246495875291513989	0 2 18 20 30 32 42 44 60 62	-370300714260
SPT(16)	1246496157358094287	0 24 42 52 106 112 144 150 166 172 204 210 264 274 292 316	-88234133962
SPT(16)	1246496308682321657	0 24 42 60 72 102 116 122 234 240 254 284 296 314 332 356	63090093408
SPT(16)	1246496372365073873	0 18 44 50 60 114 128 134 150 156 170 224 234 240 266 284	126772845624
STPT(10)	1246496440124136527	0 2 30 32 42 44 54 56 84 86	194531908278
STPT(10)	1246496675929157501	0 2 36 38 78 80 120 122 156 158	430336929252
SPT(16)	1246496835937977779	0 24 30 44 80 162 180 182 192 194 212 294 330 344 350 374	590345749530