Prime p₀= 2012727097233141197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Chooka
db: batch=80, k=10, 2 28 2 10 2

STPT(12)	2012725671090704429	0 2 30 32 60 62 138 140 168 170 198 200	-1426142436768
STPT(10)	2012725807918802687	0 2 12 14 42 44 72 74 84 86	-1289314338510
STPT(10)	2012726231362302899	0 2 42 44 60 62 78 80 120 122	-865870838298
STPT(10)	2012726485706999561	0 2 36 38 78 80 120 122 156 158	-611526141636
SPT(16)	2012727057287080697	0 24 44 54 56 80 90 114 122 146 156 180 182 192 212 236	-39946060500
TPT(14)	2012727057825015809	0 2 12 14 90 92 132 134 138 140 210 212 258 260	-39408125388
SPT(16)	2012727105526078507	0 16 54 90 132 174 184 192 244 252 262 304 346 382 420 436	8292937310
STPT(10)	2012727392366519069	0 2 48 50 90 92 132 134 180 182	295133377872
SPT(18)	2012727421551542023	0 28 60 66 94 100 144 184 196 198 210 250 294 300 328 334 366 394	324318400826
STPT(10)	2012727621550965437	0 2 30 32 42 44 54 56 84 86	524317824240
SPT(16)	2012728413294220183	0 4 6 16 64 66 108 150 154 196 238 240 288 298 300 304	1316061078986