Prime p₀= 3021033259505505029 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: Alnitak2019
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	3021032017326000779	0 2 48 50 90 92 132 134 180 182	-1242179504250
TPT(14)	3021032097414336449	0 2 42 44 90 92 162 164 342 344 372 374 402 404	-1162091168580
SPT(16)	3021032484805025599	0 52 60 72 94 112 130 150 172 192 210 228 250 262 270 322	-774700479430
SPT(16)	3021032555011050301	0 22 30 40 42 60 66 102 106 142 148 166 168 178 186 208	-704494454728
STPT(10)	3021032582962250069	0 2 12 14 90 92 168 170 180 182	-676543254960
STPT(10)	3021033028359153287	0 2 30 32 42 44 54 56 84 86	-231146351742
SPT(16)	3021033508918908547	0 10 84 184 186 220 234 240 250 256 270 304 306 406 480 490	249413403518
SPT(13)	3021033985085743709	0 12 54 84 90 174 192 210 294 300 330 372 384	725580238680
SPT(16)	3021035204238751741	0 6 30 48 66 72 82 100 108 126 136 142 160 178 202 208	1944733246712
SPT(16)	3021035205942582589	0 54 120 154 220 222 238 304 348 414 430 432 498 532 598 652	1946437077560
STPT(10)	3021035259750536387	0 2 60 62 72 74 84 86 144 146	2000245031358