Prime p₀= 4365135552513142499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Autofuzzy
db: batch=85, k=10, 2 76 2 40 2

SPT(18)	4365134770777876561	0 48 72 100 118 148 166 180 226 312 358 372 390 420 438 466 490 538	-781735265938
SPT(16)	4365134823828230189	0 14 90 108 122 138 162 182 300 320 344 360 374 392 468 482	-728684912310
STPT(10)	4365134963317166177	0 2 60 62 72 74 84 86 144 146	-589195976322
SPT(16)	4365135267462109303	0 4 34 36 108 114 120 150 154 184 190 196 268 270 300 304	-285051033196
SPT(16)	4365135306852297739	0 24 28 58 72 84 132 142 150 160 208 220 234 264 268 292	-245660844760
SPT(16)	4365135352716484981	0 10 60 120 162 186 220 270 298 348 382 406 448 508 558 568	-199796657518
SPT(16)	4365135608512412711	0 38 42 50 60 80 108 162 206 260 288 308 318 326 330 368	55999270212
SPT(16)	4365135658770704569	0 22 58 70 78 90 100 148 174 222 232 244 252 264 300 322	106257562070
SPT(16)	4365135906385822753	0 30 96 124 126 136 154 160 174 180 198 208 210 238 304 334	353872680254
STPT(12)	4365136052108060039	0 2 30 32 72 74 108 110 150 152 180 182	499594917540
STPT(10)	4365136262371067789	0 2 12 14 90 92 168 170 180 182	709857925290