Prime p₀= 853599567776288537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Vitalii Koshura
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	853598120887444193	0 20 60 86 98 120 134 158 216 240 254 276 288 314 354 374	-1446888844344
STPT(10)	853598814815665967	0 2 42 44 72 74 102 104 144 146	-752960622570
SPT(16)	853598973991380163	0 4 18 28 54 60 88 108 310 330 358 364 390 400 414 418	-593784908374
SPT(16)	853599145660988761	0 40 42 58 60 108 166 172 306 312 370 418 420 436 438 478	-422115299776
SPT(18)	853599154903529701	0 46 52 78 88 90 106 108 118 120 130 132 148 150 160 186 192 238	-412872758836
STPT(10)	853599154903529789	0 2 18 20 30 32 42 44 60 62	-412872758748
STPT(10)	853599882199959491	0 2 36 38 78 80 120 122 156 158	314423670954
STPT(10)	853600529979933551	0 2 6 8 48 50 90 92 96 98	962203645014
SPT(16)	853600649783979689	0 14 18 30 44 48 98 114 158 174 224 228 242 254 258 272	1082007691152
SPT(16)	853600797912774679	0 28 34 40 48 52 54 78 94 118 120 124 132 138 144 172	1230136486142
SPT(16)	853600880771803267	0 4 6 36 76 82 120 126 130 136 174 180 220 250 252 256	1312995514730