Prime p₀= 1087337356734254411 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: gemini8
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1087336276929666499	0 60 102 108 124 130 142 150 172 180 192 198 214 220 262 322	-1079804587912
STPT(10)	1087336600306601339	0 2 30 32 60 62 90 92 120 122	-756427653072
SPT(16)	1087336618709699947	0 40 42 52 64 120 124 130 144 150 154 210 222 232 234 274	-738024554464
STPT(10)	1087336629015714071	0 2 36 38 78 80 120 122 156 158	-727718540340
SPT(16)	1087336928609485577	0 6 30 84 92 156 170 206 210 246 260 324 332 386 410 416	-428124768834
STPT(10)	1087337041569586349	0 2 12 14 90 92 168 170 180 182	-315164668062
SPT(16)	1087337362761185629	0 22 52 60 64 100 120 130 132 142 162 198 202 210 240 262	6026931218
TPT(14)	1087337503265091467	0 2 72 74 102 104 114 116 264 266 270 272 312 314	146530837056
STPT(10)	1087337766775220669	0 2 18 20 60 62 102 104 120 122	410040966258
SPT(16)	1087337960799210079	0 10 12 24 40 42 102 108 124 130 190 192 208 220 222 232	604064955668
SPT(16)	1087338108585417541	0 12 28 40 66 100 102 130 138 166 168 202 228 240 256 268	751851163130