Prime p₀= 1213023325508983991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: HenkM
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1213022571613847243	0 36 44 54 56 60 78 84 170 176 194 198 200 210 218 254	-753895136748
SPT(13)	1213022628179210111	0 6 60 72 90 156 186 216 282 300 312 366 372	-697329773880
SPT(16)	1213022657961639241	0 10 12 28 30 36 58 66 82 90 112 118 120 136 138 148	-667547344750
SPT(16)	1213022702839107437	0 12 26 102 140 180 210 264 272 326 356 396 434 510 524 536	-622669876554
SPT(16)	1213022769801444281	0 26 42 66 80 92 116 128 150 162 186 198 212 236 252 278	-555707539710
STPT(10)	1213022885965310471	0 2 6 8 18 20 30 32 36 38	-439543673520
STPT(10)	1213023404088371969	0 2 18 20 30 32 42 44 60 62	78579387978
TPT(14)	1213023490154154311	0 2 6 8 120 122 150 152 216 218 360 362 378 380	164645170320
STPT(10)	1213023561704453657	0 2 54 56 72 74 90 92 144 146	236195469666
SPT(16)	1213023990933957073	0 34 36 40 48 70 78 84 160 166 174 196 204 208 210 244	665424973082
STPT(12)	1213024376929995629	0 2 30 32 42 44 138 140 150 152 180 182	1051421011638