Prime p₀= 2604078709605282797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2604077335777189549	0 12 28 58 60 138 144 154 198 208 214 292 294 324 340 352	-1373828093248
SPT(16)	2604077747731147561	0 46 70 82 112 118 126 130 168 172 180 186 216 228 252 298	-961874135236
STPT(10)	2604077928293207459	0 2 42 44 60 62 78 80 120 122	-781312075338
SPT(16)	2604078024931042043	0 68 98 146 156 168 174 198 206 230 236 248 258 306 336 404	-684674240754
STPT(10)	2604078073139595719	0 2 42 44 60 62 78 80 120 122	-636465687078
SPT(16)	2604078708453045403	0 16 30 76 84 154 196 214 420 438 480 550 558 604 618 634	-1152237394
SPT(16)	2604078930030236497	0 24 66 114 130 144 186 220 300 334 376 390 406 454 496 520	220424953700
SPT(16)	2604079002710790247	0 154 180 234 264 282 324 340 444 460 502 520 550 604 630 784	293105507450
SPT(16)	2604079403267951489	0 84 102 108 150 152 158 200 222 264 270 272 314 320 338 422	693662668692
SPT(16)	2604079524261060827	0 44 120 132 182 230 254 284 300 330 354 402 452 464 540 584	814655778030
SPT(18)	2604079957124955191	0 42 56 72 98 110 116 128 150 158 180 192 198 210 236 252 266 308	1247519672394