Prime p₀= 794273130310838537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: [SG]FX
db: batch=73, k=10, 2 58 2 10 2

SPT(16)	794272487365961651	0 6 60 102 126 150 152 176 192 216 218 242 266 308 362 368	-642944876886
SPT(16)	794272523106238321	0 52 82 90 112 126 132 136 162 166 172 186 208 216 246 298	-607204600216
TPT(14)	794272644998385569	0 2 78 80 132 134 162 164 168 170 282 284 288 290	-485312452968
TPT(14)	794272768012717289	0 2 18 20 30 32 90 92 132 134 162 164 168 170	-362298121248
STPT(10)	794272905096576419	0 2 48 50 90 92 132 134 180 182	-225214262118
SPT(20)	794273126282832467	0 24 62 102 104 116 174 176 182 204 272 294 300 302 360 372 374 414 452 476	-4028006070
SPT(16)	794273419362579661	0 30 36 60 72 82 88 96 112 120 126 136 148 172 178 208	289051741124
SPT(16)	794273494409886487	0 6 124 132 156 250 276 292 294 310 336 430 454 462 580 586	364099047950
STPT(10)	794273859295628651	0 2 36 38 78 80 120 122 156 158	728984790114
STPT(10)	794274181269121919	0 2 42 44 60 62 78 80 120 122	1050958283382
TPT(14)	794274228033159527	0 2 42 44 54 56 90 92 162 164 174 176 210 212	1097722320990