Prime p₀= 800877681550754627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: jozef j
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	800875712561898487	0 10 12 24 52 66 72 76 90 94 100 114 142 154 156 166	-1968988856140
SPT(16)	800875938429186749	0 54 84 90 104 122 140 152 162 174 192 210 224 230 260 314	-1743121567878
STPT(10)	800876260106369141	0 2 30 32 78 80 126 128 156 158	-1421444385486
SPT(16)	800876273648790827	0 24 50 104 126 146 164 176 180 192 210 230 252 306 332 356	-1407901963800
SPT(16)	800876289585964937	0 24 74 92 120 140 164 200 234 270 294 314 342 360 410 434	-1391964789690
STPT(10)	800877445131791939	0 2 18 20 30 32 42 44 60 62	-236418962688
STPT(10)	800877828396162029	0 2 42 44 60 62 78 80 120 122	146845407402
TPT(14)	800878165310247707	0 2 72 74 90 92 174 176 180 182 210 212 270 272	483759493080
STPT(10)	800878204932757709	0 2 18 20 30 32 42 44 60 62	523382003082
SPT(16)	800878299575133049	0 30 40 72 88 100 138 144 238 244 282 294 310 342 352 382	618024378422
TPT(14)	800878364583247661	0 2 60 62 126 128 138 140 168 170 270 272 300 302	683032493034