Prime p₀= 2259914190042927599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Ben
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2259912657945341921	0 2 30 32 90 92 96 98 168 170 198 200 210 212	-1532097585678
STPT(10)	2259912752845335821	0 2 30 32 78 80 126 128 156 158	-1437197591778
SPT(16)	2259912925303706657	0 6 74 92 132 144 150 152 174 176 182 194 234 252 320 326	-1264739220942
SPT(13)	2259913691467138249	0 12 30 60 72 144 162 180 252 264 294 312 324	-498575789350
TPT(14)	2259913806797778359	0 2 60 62 90 92 132 134 198 200 252 254 258 260	-383245149240
SPT(16)	2259913948014027853	0 78 88 94 136 148 150 174 190 214 216 228 270 276 286 364	-242028899746
SPT(16)	2259914418762437299	0 22 48 78 90 132 184 214 228 258 310 352 364 394 420 442	228719509700
SPT(16)	2259914585266903339	0 40 78 108 112 120 132 168 172 208 220 228 232 262 300 340	395223975740
SPT(16)	2259914815136086747	0 34 42 60 64 84 144 174 190 220 280 300 304 322 330 364	625093159148
STPT(10)	2259915436514794691	0 2 6 8 48 50 90 92 96 98	1246471867092
STPT(10)	2259915519435050759	0 2 42 44 60 62 78 80 120 122	1329392123160