Prime p₀= 2968931419180830539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: JohnMD
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2968928628155026037	0 2 54 56 72 74 90 92 144 146	-2791025804502
STPT(10)	2968928715016853177	0 2 30 32 42 44 54 56 84 86	-2704163977362
STPT(10)	2968928791324256741	0 2 36 38 78 80 120 122 156 158	-2627856573798
STPT(10)	2968930241989821017	0 2 30 32 42 44 54 56 84 86	-1177191009522
SPT(16)	2968930554079509911	0 2 8 12 26 56 68 78 140 150 162 192 206 210 216 218	-865101320628
SPT(16)	2968930863320370959	0 44 84 92 98 138 150 152 180 182 194 234 240 248 288 332	-555860459580
TPT(14)	2968931887288194131	0 2 66 68 78 80 96 98 126 128 258 260 348 350	468107363592
SPT(16)	2968932121429067881	0 6 10 132 136 142 262 280 372 390 510 516 520 642 646 652	702248237342
SPT(16)	2968932152938467923	0 6 36 78 86 96 120 128 228 236 260 270 278 320 350 356	733757637384
STPT(10)	2968932402291456581	0 2 30 32 78 80 126 128 156 158	983110626042
SPT(16)	2968932491105464739	0 42 48 62 72 104 140 192 230 282 318 350 360 374 380 422	1071924634200