Prime p₀= 2258880709504506077 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: JayPi
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2258878722247541521	0 10 30 40 96 102 130 136 156 162 190 196 252 262 282 292	-1987256964556
TPT(14)	2258879119822187831	0 2 48 50 90 92 138 140 210 212 216 218 258 260	-1589682318246
TPT(14)	2258879800788261137	0 2 42 44 54 56 90 92 102 104 132 134 180 182	-908716244940
STPT(10)	2258880268229482949	0 2 18 20 60 62 102 104 120 122	-441275023128
STPT(10)	2258880461019834647	0 2 30 32 72 74 114 116 144 146	-248484671430
SPT(16)	2258880666426674713	0 40 48 78 114 148 294 304 390 400 546 580 616 646 654 694	-43077831364
SPT(16)	2258881192610430061	0 10 22 36 42 76 78 108 160 190 192 226 232 246 258 268	483105923984
SPT(16)	2258881434654178501	0 18 30 60 66 70 72 82 156 166 168 172 178 208 220 238	725149672424
STPT(12)	2258881642321337219	0 2 30 32 42 44 90 92 102 104 132 134	932816831142
STPT(10)	2258882027857933529	0 2 18 20 30 32 42 44 60 62	1318353427452
SPT(16)	2258882057503346903	0 38 50 56 78 80 108 110 234 236 264 266 288 294 306 344	1347998840826