Prime p₀= 2023628321569788749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: CoolAtchOk
db: batch=80, k=10, 2 10 2 16 2

STPT(10)	2023627662674554367	0 2 30 32 72 74 114 116 144 146	-658895234382
SPT(16)	2023627780169171549	0 24 38 62 74 92 114 150 182 218 240 258 270 294 308 332	-541400617200
SPT(16)	2023627857483270539	0 12 30 44 68 90 92 120 152 180 182 204 228 242 260 272	-464086518210
SPT(16)	2023627864072015837	0 72 132 160 166 174 184 210 226 252 262 270 276 304 364 436	-457497772912
STPT(10)	2023627931410730147	0 2 24 26 42 44 60 62 84 86	-390159058602
SPT(16)	2023627994440764853	0 18 40 58 96 136 138 154 180 196 198 238 276 294 316 334	-327129023896
TPT(14)	2023628503167115487	0 2 54 56 84 86 192 194 222 224 264 266 282 284	181597326738
SPT(16)	2023628563893692779	0 34 72 112 150 162 174 184 210 220 232 244 282 322 360 394	242323904030
STPT(10)	2023628677595337677	0 2 42 44 72 74 102 104 144 146	356025548928
SPT(16)	2023628854128508387	0 12 22 46 76 90 154 160 216 222 286 300 330 354 364 376	532558719638
SPT(16)	2023628983451314339	0 22 70 88 94 100 112 130 132 150 162 168 174 192 240 262	661881525590