Prime p₀= 2296480679501880647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: MarkRBright
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2296479868329705631	0 6 28 60 66 72 88 130 198 240 256 262 268 300 322 328	-811172175016
SPT(16)	2296479966680039771	0 26 50 56 66 68 108 138 140 170 210 212 222 228 252 278	-712821840876
SPT(16)	2296480418624242031	0 30 56 60 140 180 186 206 216 236 242 282 362 366 392 422	-260877638616
SPT(16)	2296480513748454127	0 12 30 42 52 106 112 142 174 204 210 264 274 286 304 316	-165753426520
SPT(16)	2296480547495803003	0 18 30 48 58 66 70 88 96 114 118 126 136 154 166 184	-132006077644
SPT(16)	2296480650763651799	0 20 24 44 90 122 152 194 210 252 282 314 360 380 384 404	-28738228848
STPT(10)	2296481002172794037	0 2 12 14 42 44 72 74 84 86	322670913390
SPT(16)	2296481097626532917	0 72 84 102 122 170 192 260 276 344 366 414 434 452 464 536	418124652270
TPT(14)	2296481193659090861	0 2 36 38 66 68 90 92 126 128 150 152 168 170	514157210214
SPT(16)	2296481294842052867	0 2 54 86 92 104 120 132 134 146 162 174 180 212 264 266	615340172220
SPT(16)	2296481355606187579	0 18 88 100 118 130 148 172 240 264 282 294 312 324 394 412	676104306932