Prime p₀= 798348091711563257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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 10 2 58 2

SPT(16)	798346278261556253	0 36 38 48 60 78 84 108 116 140 146 164 176 186 188 224	-1813450007004
SPT(16)	798346664509738853	0 6 26 38 66 68 146 150 164 168 246 248 276 288 308 314	-1427201824404
SPT(16)	798347133274109953	0 4 18 30 34 78 84 88 186 190 196 240 244 256 270 274	-958437453304
STPT(10)	798347148716817611	0 2 6 8 18 20 30 32 36 38	-942994745646
SPT(16)	798347458115603971	0 72 82 102 142 172 222 252 310 340 390 420 460 480 490 562	-633595959286
SPT(16)	798348070623259183	0 54 84 96 126 154 156 180 184 208 210 238 268 280 310 364	-21088304074
SPT(16)	798348421152377999	0 2 14 74 92 102 114 150 212 248 260 270 288 348 360 362	329440814742
STPT(12)	798348557462966171	0 2 30 32 60 62 96 98 126 128 156 158	465751402914
STPT(10)	798348988045362659	0 2 42 44 90 92 138 140 180 182	896333799402
STPT(10)	798349060488169241	0 2 6 8 18 20 30 32 36 38	968776605984
SPT(16)	798349531940245781	0 2 12 18 60 146 152 168 200 216 222 308 350 356 366 368	1440228682524