Prime p₀= 1213022885965310471 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: HenkM
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1213022133126848329	0 4 24 42 54 60 102 124 138 160 202 208 220 238 258 262	-752838462142
SPT(16)	1213022571613847243	0 36 44 54 56 60 78 84 170 176 194 198 200 210 218 254	-314351463228
SPT(13)	1213022628179210111	0 6 60 72 90 156 186 216 282 300 312 366 372	-257786100360
SPT(16)	1213022657961639241	0 10 12 28 30 36 58 66 82 90 112 118 120 136 138 148	-228003671230
SPT(16)	1213022702839107437	0 12 26 102 140 180 210 264 272 326 356 396 434 510 524 536	-183126203034
SPT(16)	1213022769801444281	0 26 42 66 80 92 116 128 150 162 186 198 212 236 252 278	-116163866190
STPT(10)	1213023325508983991	0 2 30 32 60 62 90 92 120 122	439543673520
STPT(10)	1213023404088371969	0 2 18 20 30 32 42 44 60 62	518123061498
TPT(14)	1213023490154154311	0 2 6 8 120 122 150 152 216 218 360 362 378 380	604188843840
STPT(10)	1213023561704453657	0 2 54 56 72 74 90 92 144 146	675739143186
SPT(16)	1213023990933957073	0 34 36 40 48 70 78 84 160 166 174 196 204 208 210 244	1104968646602