Prime p₀= 3023867954365094267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Asgard2022
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	3023866892822303501	0 2 12 26 32 50 72 96 116 140 162 180 186 200 210 212	-1061542790766
STPT(10)	3023866913285178011	0 2 6 8 18 20 30 32 36 38	-1041079916256
SPT(16)	3023866981841776513	0 6 18 58 78 106 120 156 190 226 240 268 288 328 340 346	-972523317754
STPT(12)	3023867008956888011	0 2 78 80 150 152 168 170 240 242 318 320	-945408206256
SPT(16)	3023867116389300353	0 6 8 50 54 86 128 138 176 186 228 260 264 306 308 314	-837975793914
SPT(16)	3023867159093494039	0 40 60 82 100 102 130 184 198 252 280 282 300 322 342 382	-795271600228
SPT(18)	3023867998301937739	0 24 42 60 84 108 130 144 150 232 238 252 274 298 322 340 358 382	43936843472
STPT(10)	3023868016917724967	0 2 12 14 42 44 72 74 84 86	62552630700
SPT(16)	3023868211866704747	0 6 42 54 102 114 116 140 156 180 182 194 242 254 290 296	257501610480
SPT(16)	3023868233475406901	0 6 12 20 42 50 62 86 132 156 168 176 198 206 212 218	279110312634
TPT(14)	3023868671401001561	0 2 90 92 126 128 156 158 198 200 258 260 300 302	717035907294