Prime p₀= 2012746563484575167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2012744928607585057	0 22 84 90 144 172 190 202 282 294 312 340 394 400 462 484	-1634876990110
TPT(14)	2012745165412495049	0 2 18 20 30 32 48 50 72 74 180 182 222 224	-1398072080118
STPT(10)	2012745659450357717	0 2 12 14 72 74 132 134 144 146	-904034217450
SPT(16)	2012745824309954339	0 8 12 48 74 110 114 132 140 158 162 198 224 260 264 272	-739174620828
STPT(10)	2012745909396122597	0 2 12 14 72 74 132 134 144 146	-654088452570
SPT(16)	2012745917901542959	0 10 18 24 58 94 102 130 132 160 168 204 238 244 252 262	-645583032208
TPT(14)	2012746588332661889	0 2 12 14 42 44 120 122 168 170 432 434 498 500	24848086722
STPT(10)	2012746610954780159	0 2 42 44 90 92 138 140 180 182	47470204992
STPT(10)	2012746751444249801	0 2 30 32 78 80 126 128 156 158	187959674634
STPT(10)	2012747176228815977	0 2 30 32 42 44 54 56 84 86	612744240810
STPT(10)	2012747900969668787	0 2 12 14 42 44 72 74 84 86	1337485093620