Prime p₀= 2172333131122067729 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: rlacr
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2172331330317514969	0 10 30 64 84 124 130 142 150 162 168 208 228 262 282 292	-1800804552760
SPT(16)	2172331625015093027	0 14 84 90 92 110 120 122 192 194 204 222 224 230 300 314	-1506106974702
TPT(14)	2172332603376564059	0 2 132 134 138 140 168 170 228 230 252 254 270 272	-527745503670
STPT(10)	2172332653516911167	0 2 60 62 72 74 84 86 144 146	-477605156562
SPT(13)	2172332673593915671	0 18 42 48 102 108 150 192 198 252 258 282 300	-457528152058
STPT(10)	2172332878919887427	0 2 42 44 72 74 102 104 144 146	-252202180302
SPT(16)	2172333213956409523	0 34 90 120 148 154 180 186 238 244 270 276 304 334 390 424	82834341794
STPT(12)	2172333327742699967	0 2 30 32 42 44 60 62 72 74 102 104	196620632238
STPT(10)	2172333348848513699	0 2 30 32 60 62 90 92 120 122	217726445970
SPT(16)	2172333783042699691	0 18 28 30 52 88 100 112 186 198 210 246 268 270 280 298	651920631962
STPT(12)	2172333951377423837	0 2 42 44 54 56 120 122 132 134 174 176	820255356108