Prime p₀= 2561891598826650089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2561890032883201429	0 28 58 84 100 142 154 160 162 168 180 222 238 264 294 322	-1565943448660
SPT(16)	2561890346819741999	0 14 18 48 54 80 110 120 122 132 162 188 194 224 228 242	-1252006908090
TPT(14)	2561890730105662451	0 2 18 20 108 110 138 140 150 152 156 158 168 170	-868720987638
TPT(14)	2561891142681702449	0 2 60 62 78 80 102 104 228 230 252 254 258 260	-456144947640
STPT(10)	2561891148837385031	0 2 6 8 18 20 30 32 36 38	-449989265058
SPT(16)	2561891465604994231	0 10 22 70 78 88 106 142 156 192 210 220 228 276 288 298	-133221655858
SPT(16)	2561892328963530547	0 6 34 64 70 106 154 174 202 222 270 306 312 342 370 376	730136880458
TPT(14)	2561892725720766461	0 2 18 20 90 92 168 170 366 368 396 398 408 410	1126894116372
SPT(16)	2561893282304308937	0 84 90 134 204 234 266 270 290 294 326 356 426 470 476 560	1683477658848
SPT(16)	2561894966943286969	0 12 42 60 100 112 130 142 168 180 198 210 250 268 298 310	3368116636880
SPT(16)	2561895186073536403	0 4 18 28 54 88 100 114 124 138 150 184 210 220 234 238	3587246886314