Prime p₀= 2837405334062129651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2837404506565292197	0 4 72 106 112 114 132 144 172 184 202 204 210 244 312 316	-827496837454
STPT(10)	2837404536369932057	0 2 12 14 42 44 72 74 84 86	-797692197594
SPT(16)	2837404917304313297	0 2 32 86 90 116 132 156 170 194 210 236 240 294 324 326	-416757816354
SPT(16)	2837404920006797201	0 20 26 36 42 66 68 78 110 120 122 146 152 162 168 188	-414055332450
SPT(16)	2837405032988270081	0 8 18 32 38 50 78 80 120 122 150 162 168 182 192 200	-301073859570
STPT(10)	2837405142541521449	0 2 18 20 60 62 102 104 120 122	-191520608202
TPT(16)	2837405334062129651	0 2 6 8 18 20 30 32 36 38 60 62 186 188 228 230	0
SPT(16)	2837405457535151299	0 10 12 30 54 90 130 144 208 222 262 298 322 340 342 352	123473021648
STPT(10)	2837406314522454947	0 2 24 26 42 44 60 62 84 86	980460325296
SPT(16)	2837406452687214607	0 36 66 82 84 106 136 150 166 180 210 232 234 250 280 316	1118625084956
SPT(16)	2837406647606058023	0 14 26 30 56 68 80 108 116 144 156 168 194 198 210 224	1313543928372