Prime p₀= 927677439663556409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: crashtech
db: batch=76, k=10, 2 40 2 16 2

TPT(14)	927676732757772869	0 2 42 44 222 224 312 314 342 344 378 380 450 452	-706905783540
STPT(10)	927676795702843577	0 2 30 32 42 44 54 56 84 86	-643960712832
SPT(16)	927676812155255083	0 18 48 60 64 88 94 148 150 204 210 234 238 250 280 298	-627508301326
STPT(10)	927677116541200841	0 2 6 8 48 50 90 92 96 98	-323122355568
SPT(16)	927677384799951449	0 2 14 48 104 114 152 200 222 270 308 318 374 408 420 422	-54863604960
TPT(14)	927677408463609359	0 2 90 92 138 140 162 164 180 182 252 254 318 320	-31199947050
SPT(13)	927677487135086881	0 12 18 42 78 102 120 138 162 198 222 228 240	47471530472
STPT(10)	927677657533213787	0 2 12 14 72 74 132 134 144 146	217869657378
SPT(16)	927678050235081787	0 24 52 64 66 82 94 124 162 192 204 220 222 234 262 286	610571525378
SPT(16)	927678517985193361	0 10 48 52 70 100 102 136 252 286 288 318 336 340 378 388	1078321636952
STPT(10)	927678532440028637	0 2 30 32 72 74 114 116 144 146	1092776472228