Prime p₀= 927677657533213787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: crashtech
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	927676812155255083	0 18 48 60 64 88 94 148 150 204 210 234 238 250 280 298	-845377958704
STPT(10)	927677116541200841	0 2 6 8 48 50 90 92 96 98	-540992012946
SPT(16)	927677384799951449	0 2 14 48 104 114 152 200 222 270 308 318 374 408 420 422	-272733262338
TPT(14)	927677408463609359	0 2 90 92 138 140 162 164 180 182 252 254 318 320	-249069604428
STPT(10)	927677439663556409	0 2 42 44 60 62 78 80 120 122	-217869657378
SPT(13)	927677487135086881	0 12 18 42 78 102 120 138 162 198 222 228 240	-170398126906
SPT(16)	927678050235081787	0 24 52 64 66 82 94 124 162 192 204 220 222 234 262 286	392701868000
SPT(16)	927678517985193361	0 10 48 52 70 100 102 136 252 286 288 318 336 340 378 388	860451979574
STPT(10)	927678532440028637	0 2 30 32 72 74 114 116 144 146	874906814850
STPT(10)	927678935683828397	0 2 24 26 42 44 60 62 84 86	1278150614610
SPT(16)	927679051482712813	0 16 144 148 180 186 190 196 198 204 208 214 246 250 378 394	1393949499026