Prime p₀= 1058473278380734421 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Spectrum
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1058472049211585819	0 38 48 54 72 140 174 198 224 248 282 350 368 374 384 422	-1229169148602
SPT(16)	1058472140877409651	0 22 30 40 42 72 100 112 138 150 178 208 210 220 228 250	-1137503324770
STPT(10)	1058472550019779397	0 2 24 26 42 44 60 62 84 86	-728360955024
STPT(10)	1058473082010169841	0 2 36 38 78 80 120 122 156 158	-196370564580
SPT(16)	1058473193668967653	0 24 36 66 76 96 118 126 148 156 178 198 208 238 250 274	-84711766768
SPT(16)	1058473224634984019	0 14 30 32 44 54 78 92 120 134 158 168 180 182 198 212	-53745750402
SPT(16)	1058473372463756891	0 32 36 38 98 120 132 146 162 176 188 210 270 272 276 308	94083022470
STPT(10)	1058473435307436329	0 2 18 20 30 32 42 44 60 62	156926701908
SPT(16)	1058473681258141913	0 6 20 44 66 84 134 140 150 156 206 224 246 270 284 290	402877407492
SPT(16)	1058473997646368741	0 8 12 18 26 50 72 78 110 116 138 162 170 176 180 188	719265634320
SPT(16)	1058474009223595451	0 26 48 56 62 78 120 132 146 158 200 216 222 230 252 278	730842861030