Prime p₀= 2156885669436056561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

TPT(14)	2156884008567634457	0 2 114 116 144 146 150 152 222 224 234 236 282 284	-1660868422104
SPT(16)	2156884381430588947	0 12 30 40 42 60 70 82 102 114 124 142 144 154 172 184	-1288005467614
SPT(16)	2156884517297702347	0 24 36 106 180 204 210 234 292 316 322 346 420 490 502 526	-1152138354214
SPT(16)	2156885061350631217	0 4 6 130 154 156 244 246 280 282 370 372 396 520 522 526	-608085425344
STPT(12)	2156885188447383089	0 2 48 50 78 80 90 92 120 122 168 170	-480988673472
STPT(10)	2156885616114735587	0 2 54 56 72 74 90 92 144 146	-53321320974
STPT(10)	2156885923066208417	0 2 30 32 72 74 114 116 144 146	253630151856
SPT(16)	2156886068007342493	0 24 78 94 100 198 250 274 294 318 370 468 474 490 544 568	398571285932
STPT(10)	2156886295774863461	0 2 6 8 48 50 90 92 96 98	626338806900
STPT(10)	2156886952434178607	0 2 30 32 42 44 54 56 84 86	1282998122046
STPT(10)	2156887006548269291	0 2 6 8 18 20 30 32 36 38	1337112212730