Prime p₀= 1025461778429646167 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

STPT(10)	1025459755402845611	0 2 30 32 60 62 90 92 120 122	-2023026800556
STPT(12)	1025459938712422391	0 2 48 50 78 80 90 92 120 122 168 170	-1839717223776
SPT(16)	1025460242989744139	0 8 14 68 84 90 120 132 230 242 272 278 294 348 354 362	-1535439902028
SPT(16)	1025460396197538131	0 48 68 116 152 158 186 270 308 392 420 426 462 510 530 578	-1382232108036
SPT(16)	1025460874767578257	0 4 12 42 52 60 154 250 276 372 466 474 484 514 522 526	-903662067910
SPT(16)	1025460901375339291	0 10 36 58 70 78 126 136 162 172 220 228 240 262 288 298	-877054306876
SPT(16)	1025462010159910439	0 12 18 20 48 72 84 114 158 188 200 224 252 254 260 272	231730264272
STPT(10)	1025462015763843011	0 2 6 8 48 50 90 92 96 98	237334196844
SPT(16)	1025462270471412247	0 4 52 84 90 126 136 172 174 210 220 256 262 294 342 346	492041766080
STPT(10)	1025462829243434357	0 2 12 14 42 44 72 74 84 86	1050813788190
SPT(16)	1025463253388000039	0 30 44 84 110 144 158 194 204 240 254 288 314 354 368 398	1474958353872