Prime p₀= 2967223163836687541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2967221956847779957	0 16 34 42 100 102 120 144 172 196 214 216 274 282 300 316	-1206988907584
STPT(10)	2967222115092028271	0 2 30 32 78 80 126 128 156 158	-1048744659270
STPT(10)	2967222221098426397	0 2 30 32 42 44 54 56 84 86	-942738261144
SPT(16)	2967222258442627847	0 6 32 102 116 120 126 140 162 176 182 186 200 270 296 302	-905394059694
SPT(16)	2967222572728043041	0 46 48 58 60 76 88 90 166 168 180 196 198 208 210 256	-591108644500
STPT(10)	2967222663005200841	0 2 90 92 168 170 246 248 336 338	-500831486700
SPT(16)	2967223481886341723	0 8 14 26 36 66 80 168 206 294 308 338 348 360 366 374	318049654182
STPT(10)	2967223741112283449	0 2 18 20 30 32 42 44 60 62	577275595908
STPT(10)	2967223790588981969	0 2 48 50 90 92 132 134 180 182	626752294428
SPT(16)	2967223927491586447	0 6 12 40 46 60 126 172 174 220 286 300 306 334 340 346	763654898906
SPT(16)	2967224145477940189	0 18 28 78 84 88 102 118 144 160 174 178 184 234 244 262	981641252648