Prime p₀= 798430536632116457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: jozef j
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	798429227180835911	0 12 30 36 42 48 72 108 110 146 170 176 182 188 206 218	-1309451280546
SPT(16)	798429268850825201	0 2 36 90 140 146 156 162 176 182 192 198 248 302 336 338	-1267781291256
SPT(16)	798429523074984259	0 18 34 42 84 112 132 144 148 160 180 208 250 258 274 292	-1013557132198
SPT(16)	798429944679726167	0 6 26 74 92 96 102 144 212 254 260 264 282 330 350 356	-591952390290
STPT(10)	798430293015539879	0 2 30 32 60 62 90 92 120 122	-243616576578
SPT(16)	798430373899165283	0 6 8 68 90 108 146 168 176 198 236 254 276 336 338 344	-162732951174
TPT(14)	798430784676676871	0 2 150 152 186 188 198 200 228 230 366 368 420 422	248044560414
SPT(16)	798430846752257899	0 4 64 90 94 108 118 120 178 180 190 204 208 234 294 298	310120141442
STPT(12)	798431002705588379	0 2 12 14 72 74 78 80 138 140 150 152	466073471922
STPT(10)	798431328954783281	0 2 6 8 18 20 30 32 36 38	792322666824
SPT(16)	798431537647384507	0 52 54 130 142 154 166 202 234 270 282 294 306 382 384 436	1001015268050