Prime p₀= 798094089997170677 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: amazing
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	798092415368988533	0 24 78 128 216 224 236 260 294 318 330 338 426 476 530 554	-1674628182144
SPT(18)	798092706712100707	0 22 42 46 112 120 130 136 144 172 180 186 196 204 270 274 294 316	-1383285069970
SPT(16)	798093085842765187	0 30 34 72 76 126 132 156 220 244 250 300 304 342 346 376	-1004154405490
SPT(16)	798093299366169761	0 78 236 248 272 278 282 296 342 356 360 366 390 402 560 638	-790631000916
STPT(10)	798093411678446129	0 2 120 122 180 182 240 242 360 362	-678318724548
STPT(10)	798093864537223937	0 2 42 44 72 74 102 104 144 146	-225459946740
TPT(14)	798094264236686741	0 2 36 38 78 80 120 122 126 128 210 212 228 230	174239516064
STPT(10)	798094312289114471	0 2 36 38 78 80 120 122 156 158	222291943794
SPT(16)	798094497221541881	0 6 18 20 26 30 32 62 96 126 128 132 138 140 152 158	407224371204
STPT(10)	798094618778340017	0 2 30 32 162 164 294 296 324 326	528781169340
SPT(16)	798094915989429517	0 4 60 120 142 174 216 240 286 310 352 384 406 466 522 526	825992258840