Prime p₀= 1205682786803334797 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1205681681229811967	0 2 24 26 42 44 60 62 84 86	-1105573522830
SPT(16)	1205681724444964187	0 12 32 54 80 84 92 110 126 144 152 156 182 204 224 236	-1062358370610
SPT(16)	1205681924624174731	0 6 10 12 142 156 160 180 238 258 262 276 406 408 412 418	-862179160066
SPT(16)	1205682224139134473	0 4 6 28 58 64 90 106 138 154 180 186 216 238 240 244	-562664200324
STPT(10)	1205682370401033191	0 2 6 8 18 20 30 32 36 38	-416402301606
STPT(10)	1205682423836518877	0 2 12 14 72 74 132 134 144 146	-362966815920
SPT(18)	1205682818590990489	0 10 18 24 52 70 72 78 84 88 94 100 102 120 148 154 162 172	31787655692
STPT(10)	1205682825828290891	0 2 6 8 48 50 90 92 96 98	39024956094
STPT(10)	1205682876224766851	0 2 6 8 18 20 30 32 36 38	89421432054
STPT(10)	1205683188444903197	0 2 30 32 42 44 54 56 84 86	401641568400
SPT(16)	1205683469111553361	0 40 52 102 118 132 178 186 202 210 256 270 286 336 348 388	682308218564