Prime p₀= 2276729947498074527 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2276728727612969897	0 66 150 182 186 200 210 222 290 302 312 326 330 362 446 512	-1219885104630
SPT(16)	2276728797141063131	0 12 38 42 62 96 110 128 210 228 242 276 296 300 326 338	-1150357011396
STPT(10)	2276729143449043469	0 2 18 20 30 32 42 44 60 62	-804049031058
SPT(16)	2276729410167752747	0 6 12 50 54 60 74 104 342 372 386 392 396 434 440 446	-537330321780
SPT(16)	2276729546356448003	0 36 56 78 86 98 116 170 216 270 288 300 308 330 350 386	-401141626524
SPT(16)	2276729756565541691	0 8 12 32 72 78 138 156 182 200 260 266 306 326 330 338	-190932532836
STPT(10)	2276730219058639427	0 2 30 32 72 74 114 116 144 146	271560564900
SPT(16)	2276730339917692909	0 4 40 70 108 144 150 178 204 232 238 274 312 342 378 382	392419618382
SPT(16)	2276730430949141239	0 10 18 28 42 48 70 72 88 90 112 118 132 142 150 160	483451066712
STPT(10)	2276730703290289847	0 2 30 32 42 44 54 56 84 86	755792215320
SPT(16)	2276730762384555793	0 10 18 28 40 70 130 150 166 186 246 276 288 298 306 316	814886481266