Prime p₀= 2037657112670443907 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2037655404342419969	0 24 60 74 78 84 108 134 198 224 248 254 258 272 308 332	-1708328023938
TPT(14)	2037655705321097987	0 2 30 32 144 146 180 182 234 236 264 266 270 272	-1407349345920
SPT(16)	2037656028649231043	0 14 20 50 54 60 104 138 176 210 254 260 264 294 300 314	-1084021212864
STPT(10)	2037656054349847871	0 2 30 32 60 62 90 92 120 122	-1058320596036
SPT(16)	2037656221746609479	0 30 42 122 134 170 182 204 290 312 324 360 372 452 464 494	-890923834428
STPT(10)	2037656424567499817	0 2 54 56 72 74 90 92 144 146	-688102944090
SPT(16)	2037657168928483579	0 42 52 72 88 100 130 144 148 162 192 204 220 240 250 292	56258039672
SPT(16)	2037657491814098051	0 122 140 150 156 170 182 198 200 216 228 242 248 258 276 398	379143654144
STPT(12)	2037657581346927641	0 2 36 38 48 50 78 80 90 92 126 128	468676483734
TPT(14)	2037657765962857607	0 2 90 92 114 116 132 134 162 164 240 242 282 284	653292413700
STPT(12)	2037657848223897971	0 2 30 32 36 38 120 122 126 128 156 158	735553454064