Prime p₀= 2623236975460569827 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: fzs600
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2623233870942416803	0 40 58 64 84 88 178 198 220 240 330 334 354 360 378 418	-3104518153024
TPT(14)	2623234534660129631	0 2 48 50 126 128 138 140 150 152 180 182 216 218	-2440800440196
SPT(16)	2623234540919669363	0 18 24 38 84 86 114 120 164 170 198 200 246 260 266 284	-2434540900464
TPT(14)	2623234801399491611	0 2 78 80 90 92 96 98 126 128 168 170 180 182	-2174061078216
STPT(12)	2623235677493008607	0 2 72 74 84 86 150 152 162 164 234 236	-1297967561220
SPT(16)	2623235786556181639	0 40 82 90 120 154 168 204 208 244 258 292 322 330 372 412	-1188904388188
STPT(10)	2623237276297088909	0 2 42 44 150 152 258 260 300 302	300836519082
SPT(16)	2623238016248056387	0 52 60 76 82 90 102 112 144 154 166 174 180 196 204 256	1040787486560
SPT(16)	2623238105509765531	0 30 46 72 82 132 160 208 300 348 376 426 436 462 478 508	1130049195704
SPT(16)	2623238125223132231	0 42 66 68 150 152 180 218 240 278 306 308 390 392 416 458	1149762562404
SPT(16)	2623238208016854019	0 12 48 64 70 72 78 82 120 124 130 132 138 154 190 202	1232556284192