Prime p₀= 2327415549649546397 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: vinn@[CNT]
db: batch=81, k=10, 2 28 2 10 2

SPT(18)	2327414956499680739	0 72 138 200 222 224 258 278 294 368 384 404 438 440 462 524 590 662	-593149865658
SPT(16)	2327414996677303283	0 84 144 186 210 230 266 314 336 384 420 440 464 506 566 650	-552972243114
SPT(16)	2327415233625233819	0 30 44 68 114 134 152 162 260 270 288 308 354 378 392 422	-316024312578
STPT(10)	2327415410192167121	0 2 30 32 78 80 126 128 156 158	-139457379276
STPT(10)	2327415469122430031	0 2 36 38 78 80 120 122 156 158	-80527116366
SPT(16)	2327415499113923209	0 34 82 88 90 154 162 190 192 220 228 292 294 300 348 382	-50535623188
SPT(16)	2327415704999590859	0 38 42 78 104 108 122 132 170 180 194 198 224 260 264 302	155350044462
STPT(10)	2327415748416894257	0 2 90 92 132 134 174 176 264 266	198767347860
SPT(16)	2327415772579123223	0 78 188 204 240 264 270 314 420 464 470 494 530 546 656 734	222929576826
STPT(10)	2327415976113795557	0 2 12 14 42 44 72 74 84 86	426464249160
TPT(14)	2327416196863248791	0 2 18 20 60 62 108 110 198 200 318 320 396 398	647213702394