Prime p₀= 2972771142182546657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2972768732436846583	0 6 58 94 108 120 130 144 160 174 184 196 210 246 298 304	-2409745700074
SPT(16)	2972768784904882357	0 10 66 130 150 160 196 232 240 276 312 322 342 406 462 472	-2357277664300
SPT(16)	2972770050101129329	0 42 84 88 94 132 168 192 220 244 280 318 324 328 370 412	-1092081417328
STPT(10)	2972770077419233919	0 2 42 44 60 62 78 80 120 122	-1064763312738
STPT(10)	2972770923428948261	0 2 6 8 48 50 90 92 96 98	-218753598396
STPT(10)	2972771095321445447	0 2 30 32 42 44 54 56 84 86	-46861101210
STPT(10)	2972771330337034739	0 2 42 44 60 62 78 80 120 122	188154488082
STPT(10)	2972771733499433189	0 2 42 44 60 62 78 80 120 122	591316886532
SPT(16)	2972772134158188683	0 6 48 54 68 80 90 96 98 104 114 126 140 146 188 194	991975642026
SPT(16)	2972772150154580393	0 36 60 74 78 86 90 140 174 224 228 236 240 254 278 314	1007972033736
SPT(16)	2972772153532821977	0 2 96 110 116 122 126 156 236 266 270 276 282 296 390 392	1011350275320