Prime p₀= 2023325736361498727 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: JZD
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2023323915495607589	0 18 42 50 54 72 90 120 152 182 200 218 222 230 254 272	-1820865891138
STPT(10)	2023324069290277811	0 2 36 38 78 80 120 122 156 158	-1667071220916
SPT(16)	2023324901936357791	0 10 22 52 66 72 126 136 162 172 226 232 246 276 288 298	-834425140936
SPT(16)	2023324972865543327	0 12 26 32 60 80 116 120 182 186 222 242 270 276 290 302	-763495955400
STPT(10)	2023325190330629369	0 2 18 20 30 32 42 44 60 62	-546030869358
SPT(16)	2023325637774808271	0 32 56 62 66 92 146 156 176 186 240 266 270 276 300 332	-98586690456
TPT(14)	2023326034174143659	0 2 30 32 42 44 48 50 72 74 78 80 132 134	297812644932
SPT(16)	2023326050258096861	0 18 30 60 62 68 156 186 212 242 330 336 338 368 380 398	313896598134
TPT(14)	2023326161262776099	0 2 72 74 78 80 132 134 198 200 210 212 240 242	424901277372
SPT(16)	2023326314415273013	0 6 66 76 84 124 126 144 286 304 306 346 354 364 424 430	578053774286
SPT(16)	2023326343401098987	0 42 44 66 80 84 164 170 186 192 272 276 290 312 314 356	607039600260