Prime p₀= 3020979910231366841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Alnitak2019
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	3020978823105350837	0 2 30 32 72 74 114 116 144 146	-1087126016004
SPT(16)	3020979108443138149	0 24 82 90 102 108 114 160 192 238 244 250 262 270 328 352	-801788228692
STPT(12)	3020979384794932037	0 2 72 74 114 116 120 122 162 164 234 236	-525436434804
SPT(16)	3020979766074872891	0 50 78 92 126 156 176 198 260 282 302 332 366 380 408 458	-144156493950
STPT(10)	3020979875858361017	0 2 42 44 72 74 102 104 144 146	-34373005824
SPT(16)	3020979885006020321	0 30 38 86 90 128 168 270 296 398 438 476 480 528 536 566	-25225346520
STPT(10)	3020980009360140857	0 2 30 32 42 44 54 56 84 86	99128774016
SPT(16)	3020980739153062129	0 34 48 112 124 132 138 148 174 184 190 198 210 274 288 322	828921695288
SPT(16)	3020981235881739503	0 8 38 74 140 168 170 176 198 204 206 234 300 336 366 374	1325650372662
SPT(16)	3020981363493292321	0 22 28 58 100 136 160 198 370 408 432 468 510 540 546 568	1453261925480
STPT(10)	3020981740947751949	0 2 18 20 30 32 42 44 60 62	1830716385108