Prime p₀= 2971731478417207967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2971729009357666769	0 24 32 74 102 128 144 170 222 248 264 290 318 360 368 392	-2469059541198
STPT(10)	2971729448483361647	0 2 54 56 72 74 90 92 144 146	-2029933846320
SPT(16)	2971730295735798923	0 20 68 78 84 98 104 176 228 300 306 320 326 336 384 404	-1182681409044
TPT(14)	2971730663530400459	0 2 18 20 72 74 132 134 228 230 240 242 288 290	-814886807508
SPT(16)	2971731043989658571	0 60 78 98 122 132 150 152 258 260 278 288 312 332 350 410	-434427549396
STPT(10)	2971731385483603619	0 2 30 32 60 62 90 92 120 122	-92933604348
SPT(16)	2971732303013067553	0 16 18 58 70 78 84 88 126 130 136 144 156 196 198 214	824595859586
SPT(16)	2971732398377967997	0 42 82 94 100 106 142 156 190 204 240 246 252 264 304 346	919960760030
STPT(10)	2971733037421398161	0 2 6 8 18 20 30 32 36 38	1559004190194
STPT(10)	2971733085686467769	0 2 42 44 60 62 78 80 120 122	1607269259802
TPT(14)	2971733286272208719	0 2 18 20 30 32 120 122 132 134 162 164 228 230	1807855000752