Prime p₀= 3021032582962250069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Alnitak2019
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	3021031934798967457	0 12 40 90 154 166 214 216 370 372 420 432 496 546 574 586	-648163282612
SPT(16)	3021031967772077813	0 26 38 60 108 138 140 210 266 336 338 368 416 438 450 476	-615190172256
STPT(10)	3021032017326000779	0 2 48 50 90 92 132 134 180 182	-565636249290
TPT(14)	3021032097414336449	0 2 42 44 90 92 162 164 342 344 372 374 402 404	-485547913620
SPT(16)	3021032484805025599	0 52 60 72 94 112 130 150 172 192 210 228 250 262 270 322	-98157224470
SPT(16)	3021032555011050301	0 22 30 40 42 60 66 102 106 142 148 166 168 178 186 208	-27951199768
STPT(10)	3021033028359153287	0 2 30 32 42 44 54 56 84 86	445396903218
STPT(10)	3021033259505505029	0 2 30 32 60 62 90 92 120 122	676543254960
SPT(16)	3021033508918908547	0 10 84 184 186 220 234 240 250 256 270 304 306 406 480 490	925956658478
SPT(13)	3021033985085743709	0 12 54 84 90 174 192 210 294 300 330 372 384	1402123493640
SPT(16)	3021035204238751741	0 6 30 48 66 72 82 100 108 126 136 142 160 178 202 208	2621276501672