Prime p₀= 1025459709652580957 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: HenkM
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1025458827175850357	0 2 20 36 42 50 72 90 92 110 132 140 146 162 180 182	-882476730600
TPT(14)	1025458988232725141	0 2 6 8 30 32 198 200 216 218 258 260 270 272	-721419855816
SPT(16)	1025459095159316759	0 2 8 42 62 120 132 134 138 140 152 210 230 264 270 272	-614493264198
STPT(10)	1025459115768068879	0 2 18 20 30 32 42 44 60 62	-593884512078
STPT(10)	1025459596129897457	0 2 42 44 72 74 102 104 144 146	-113522683500
STPT(10)	1025459647513213607	0 2 30 32 60 62 90 92 120 122	-62139367350
TPT(14)	1025459712593389427	0 2 12 14 90 92 144 146 210 212 222 224 264 266	2940808470
STPT(10)	1025459755402845611	0 2 30 32 60 62 90 92 120 122	45750264654
STPT(12)	1025459938712422391	0 2 48 50 78 80 90 92 120 122 168 170	229059841434
SPT(16)	1025460242989744139	0 8 14 68 84 90 120 132 230 242 272 278 294 348 354 362	533337163182
SPT(16)	1025460396197538131	0 48 68 116 152 158 186 270 308 392 420 426 462 510 530 578	686544957174