Prime p₀= 2012745909396122597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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 10 2 58 2

TPT(14)	2012744712739494731	0 2 18 20 30 32 48 50 90 92 126 128 138 140	-1196656627866
STPT(10)	2012744863948202651	0 2 36 38 78 80 120 122 156 158	-1045447919946
SPT(16)	2012744928607585057	0 22 84 90 144 172 190 202 282 294 312 340 394 400 462 484	-980788537540
TPT(14)	2012745165412495049	0 2 18 20 30 32 48 50 72 74 180 182 222 224	-743983627548
STPT(10)	2012745659450357717	0 2 12 14 72 74 132 134 144 146	-249945764880
SPT(16)	2012745824309954339	0 8 12 48 74 110 114 132 140 158 162 198 224 260 264 272	-85086168258
SPT(16)	2012745917901542959	0 10 18 24 58 94 102 130 132 160 168 204 238 244 252 262	8505420362
STPT(10)	2012746563484575167	0 2 60 62 72 74 84 86 144 146	654088452570
TPT(14)	2012746588332661889	0 2 12 14 42 44 120 122 168 170 432 434 498 500	678936539292
STPT(10)	2012746610954780159	0 2 42 44 90 92 138 140 180 182	701558657562
STPT(10)	2012746751444249801	0 2 30 32 78 80 126 128 156 158	842048127204