Prime p₀= 800798823123136037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Frank [NT]
db: batch=73, k=10, 2 52 2 16 2

SPT(16)	800798067439822043	0 30 50 54 60 96 128 140 174 186 218 254 260 264 284 314	-755683313994
SPT(16)	800798223697051189	0 30 84 88 114 198 234 250 252 268 304 388 414 418 472 502	-599426084848
TPT(14)	800798308874225381	0 2 30 32 108 110 168 170 186 188 210 212 276 278	-514248910656
SPT(16)	800798405090791441	0 10 28 88 96 126 178 180 208 210 262 292 300 360 378 388	-418032344596
SPT(16)	800798591202698219	0 50 68 150 152 162 182 200 420 438 458 468 470 552 570 620	-231920437818
SPT(16)	800798615304433331	0 6 32 66 68 78 92 152 216 276 290 300 302 336 362 368	-207818702706
SPT(16)	800798852060011523	0 66 80 108 116 134 144 168 176 200 210 228 236 264 278 344	28936875486
SPT(16)	800799002822719297	0 4 52 60 70 102 144 174 190 220 262 294 304 312 360 364	179699583260
SPT(16)	800799046880566837	0 6 34 54 90 130 136 166 174 204 210 250 286 306 334 340	223757430800
STPT(10)	800799150029478569	0 2 12 14 30 32 48 50 60 62	326906342532
SPT(16)	800799229934635991	0 30 50 78 132 138 140 152 156 168 170 176 230 258 278 308	406811499954