Prime p₀= 2577335968304431067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2577335414085124289	0 2 60 62 240 242 288 290 342 344 438 440 450 452	-554219306778
SPT(16)	2577335474215493429	0 12 50 74 78 120 140 170 252 282 302 344 348 372 410 422	-494088937638
STPT(10)	2577335634864098369	0 2 48 50 60 62 72 74 120 122	-333440332698
SPT(16)	2577335669381049659	0 14 20 24 32 38 54 60 62 68 84 90 98 102 108 122	-298923381408
SPT(16)	2577335691242807017	0 6 34 54 70 106 112 120 136 144 150 186 202 222 250 256	-277061624050
SPT(16)	2577335883735623473	0 16 28 30 66 124 150 168 196 214 240 298 334 336 348 364	-84568807594
STPT(10)	2577336063392259077	0 2 30 32 42 44 54 56 84 86	95087828010
STPT(10)	2577336103970945501	0 2 30 32 60 62 90 92 120 122	135666514434
SPT(16)	2577336807154354057	0 30 40 42 66 114 126 156 220 250 262 310 334 336 346 376	838849922990
TPT(14)	2577336813419307341	0 2 6 8 78 80 96 98 120 122 138 140 150 152	845114876274
TPT(14)	2577336983834785787	0 2 30 32 114 116 180 182 192 194 222 224 234 236	1015530354720