Prime p₀= 1022559801046550267 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: Theadalus
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	1022558758382652107	0 66 80 156 180 182 204 222 224 242 264 266 290 366 380 446	-1042663898160
SPT(16)	1022559008349339107	0 36 50 56 86 92 114 126 170 182 204 210 240 246 260 296	-792697211160
SPT(16)	1022559440468630767	0 10 24 52 112 124 136 156 160 180 192 204 264 292 306 316	-360577919500
SPT(16)	1022559524675546401	0 42 60 66 70 88 108 112 276 280 300 318 322 328 346 388	-276371003866
SPT(16)	1022559553368744961	0 22 36 52 66 72 100 168 190 258 286 292 306 322 336 358	-247677805306
SPT(16)	1022559670194712711	0 10 12 22 48 78 88 162 178 252 262 292 318 328 330 340	-130851837556
SPT(16)	1022560479770191631	0 2 20 48 62 80 90 128 192 230 240 258 272 300 318 320	678723641364
STPT(10)	1022560524129322721	0 2 6 8 48 50 90 92 96 98	723082772454
STPT(10)	1022560550228789567	0 2 30 32 72 74 114 116 144 146	749182239300
STPT(10)	1022560616920956719	0 2 12 14 90 92 168 170 180 182	815874406452
STPT(10)	1022560640343727151	0 2 6 8 18 20 30 32 36 38	839297176884