Prime p₀= 1020238915237856129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: HenkM
db: batch=76, k=10, 2 10 2 16 2

SPT(16)	1020237538581312479	0 30 50 72 98 120 168 182 228 242 290 312 338 360 380 410	-1376656543650
STPT(10)	1020237640893621077	0 2 54 56 72 74 90 92 144 146	-1274344235052
SPT(16)	1020238092782748197	0 44 74 86 96 114 120 144 152 176 182 200 210 222 252 296	-822455107932
SPT(16)	1020238112003993401	0 10 18 30 88 136 142 180 238 276 282 330 388 400 408 418	-803233862728
STPT(10)	1020238358743987709	0 2 18 20 30 32 42 44 60 62	-556493868420
SPT(16)	1020238857449065153	0 6 18 34 78 118 126 138 196 208 216 256 300 316 328 334	-57788790976
STPT(10)	1020239200745901317	0 2 24 26 42 44 60 62 84 86	285508045188
SPT(16)	1020239291960870089	0 10 12 28 52 70 78 124 138 184 192 210 234 250 252 262	376723013960
STPT(10)	1020240653883364049	0 2 12 14 90 92 168 170 180 182	1738645507920
SPT(16)	1020240788427049727	0 44 54 84 140 182 194 230 234 270 282 324 380 410 420 464	1873189193598
STPT(10)	1020240821719363799	0 2 42 44 60 62 78 80 120 122	1906481507670