Prime p₀= 2023323149260681031 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: JZD
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	2023322604784590299	0 24 38 102 144 158 182 194 198 210 234 248 290 354 368 392	-544476090732
STPT(10)	2023322743513220267	0 2 24 26 42 44 60 62 84 86	-405747460764
STPT(10)	2023322822880615791	0 2 78 80 108 110 138 140 216 218	-326380065240
STPT(10)	2023322889619186451	0 2 6 8 18 20 30 32 36 38	-259641494580
STPT(10)	2023323125990132171	0 2 6 8 18 20 30 32 36 38	-23270548860
SPT(16)	2023323131913822743	0 8 36 50 90 96 116 140 174 198 218 224 264 278 306 314	-17346858288
SPT(16)	2023323761932535443	0 34 36 120 124 148 156 168 196 208 216 240 244 328 330 364	612671854412
SPT(16)	2023323818421526697	0 6 32 44 102 114 116 140 156 180 182 194 252 264 290 296	669160845666
SPT(16)	2023323915495607589	0 18 42 50 54 72 90 120 152 182 200 218 222 230 254 272	766234926558
STPT(10)	2023324069290277811	0 2 36 38 78 80 120 122 156 158	920029596780
SPT(16)	2023324901936357791	0 10 22 52 66 72 126 136 162 172 226 232 246 276 288 298	1752675676760