Prime p₀= 1246495546239705257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Dr Who Fan
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1246493865752417801	0 38 110 156 186 270 288 318 380 410 428 512 542 588 660 698	-1680487287456
STPT(10)	1246494018118066769	0 2 18 20 30 32 42 44 60 62	-1528121638488
STPT(10)	1246494328315533329	0 2 90 92 240 242 390 392 480 482	-1217924171928
STPT(10)	1246494500333866841	0 2 36 38 78 80 120 122 156 158	-1045905838416
SPT(16)	1246494803688623743	0 60 70 88 114 126 130 144 160 174 178 190 216 234 244 304	-742551081514
SPT(16)	1246495262079333971	0 38 78 90 96 110 132 176 222 266 288 302 308 320 360 398	-284160371286
STPT(10)	1246495875291513989	0 2 18 20 30 32 42 44 60 62	329051808732
SPT(16)	1246496157358094287	0 24 42 52 106 112 144 150 166 172 204 210 264 274 292 316	611118389030
STPT(10)	1246496245592228249	0 2 12 14 90 92 168 170 180 182	699352522992
SPT(16)	1246496308682321657	0 24 42 60 72 102 116 122 234 240 254 284 296 314 332 356	762442616400
SPT(16)	1246496372365073873	0 18 44 50 60 114 128 134 150 156 170 224 234 240 266 284	826125368616