Prime p₀= 2396044875049924139 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: JonS
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2396043265183579591	0 16 46 82 90 132 196 228 280 312 376 418 426 462 492 508	-1609866344548
TPT(14)	2396043956393425979	0 2 12 14 18 20 102 104 168 170 180 182 198 200	-918656498160
SPT(16)	2396044103711758369	0 34 60 70 78 88 154 174 184 204 270 280 288 298 324 358	-771338165770
STPT(10)	2396044140757192967	0 2 30 32 42 44 54 56 84 86	-734292731172
SPT(16)	2396044402916029441	0 42 70 76 90 156 162 192 196 226 232 298 312 318 346 388	-472133894698
SPT(16)	2396044842996538847	0 14 36 42 66 86 92 116 120 144 150 170 194 200 222 236	-32053385292
STPT(10)	2396045032767008717	0 2 42 44 132 134 222 224 264 266	157717084578
STPT(10)	2396045646984212099	0 2 30 32 60 62 90 92 120 122	771934287960
SPT(16)	2396045744985821909	0 38 50 54 68 102 110 128 234 252 260 294 308 312 324 362	869935897770
STPT(10)	2396045938260344339	0 2 12 14 30 32 48 50 60 62	1063210420200
SPT(16)	2396046091647214681	0 16 42 70 90 96 148 166 192 210 262 268 288 316 342 358	1216597290542