Prime p₀= 2802313816503053057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=10, 2 70 2 28 2

SPT(16)	2802312539070980057	0 24 26 42 84 182 192 194 222 224 234 332 374 390 392 416	-1277432073000
STPT(10)	2802312673483771541	0 2 36 38 78 80 120 122 156 158	-1143019281516
SPT(16)	2802313046058591697	0 4 22 36 84 102 106 144 172 210 214 232 280 294 312 316	-770444461360
STPT(10)	2802313296429862511	0 2 6 8 18 20 30 32 36 38	-520073190546
STPT(10)	2802313661685788111	0 2 78 80 138 140 198 200 276 278	-154817264946
SPT(16)	2802313703125514749	0 22 90 120 150 274 300 318 334 352 378 502 532 562 630 652	-113377538308
SPT(16)	2802313833732506063	0 6 38 50 60 68 120 126 158 164 216 224 234 246 278 284	17229453006
SPT(16)	2802314206639423667	0 20 32 66 86 102 122 156 176 210 230 246 266 300 312 332	390136370610
SPT(16)	2802314256743530927	0 12 34 54 90 94 112 132 244 264 282 286 322 342 364 376	440240477870
SPT(16)	2802314561568257599	0 22 34 40 90 114 138 142 180 184 208 232 282 288 300 322	745065204542
SPT(16)	2802314797035898733	0 26 54 110 116 120 140 186 194 240 260 264 270 326 354 380	980532845676