Prime p₀= 2667504316779345047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: JayPi
db: batch=82, k=10, 2 88 2 40 2

SPT(16)	2667503266478742127	0 46 60 72 90 106 112 156 160 204 210 226 244 256 270 316	-1050300602920
STPT(10)	2667503424906673679	0 2 18 20 30 32 42 44 60 62	-891872671368
SPT(16)	2667503581440727397	0 2 30 36 56 62 132 134 222 224 294 300 320 326 354 356	-735338617650
STPT(10)	2667503644587917951	0 2 6 8 48 50 90 92 96 98	-672191427096
STPT(10)	2667503712177302417	0 2 42 44 72 74 102 104 144 146	-604602042630
TPT(14)	2667504083497873427	0 2 12 14 42 44 84 86 120 122 132 134 150 152	-233281471620
SPT(16)	2667504803140120777	0 22 42 60 64 66 84 120 136 172 190 192 196 214 234 256	486360775730
SPT(16)	2667504949436562883	0 4 6 16 40 58 76 90 154 168 186 204 228 238 240 244	632657217836
SPT(16)	2667505249195628099	0 30 44 74 84 98 108 122 150 164 174 188 198 228 242 272	932416283052
SPT(16)	2667505340993432809	0 22 34 42 60 102 112 132 172 192 202 244 262 270 282 304	1024214087762
SPT(16)	2667505429919307931	0 6 70 72 106 120 148 160 198 210 238 252 286 288 352 358	1113139962884