Prime p₀= 1605274997692718657 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: crashtech
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1605274110576634987	0 82 84 112 154 196 264 276 310 322 390 432 474 502 504 586	-887116083670
TPT(14)	1605274177873151207	0 2 42 44 102 104 132 134 162 164 204 206 312 314	-819819567450
SPT(16)	1605274223617914851	0 2 42 60 68 80 86 108 200 222 228 240 248 266 306 308	-774074803806
SPT(16)	1605274324895194103	0 30 50 90 98 126 170 216 248 294 338 366 374 414 434 464	-672797524554
SPT(16)	1605274411762643087	0 30 32 42 44 56 92 110 186 204 240 252 254 264 266 296	-585930075570
SPT(16)	1605274791085732111	0 52 88 90 100 130 160 192 196 228 258 288 298 300 336 388	-206606986546
SPT(16)	1605275119105574363	0 18 20 38 108 144 200 210 248 258 314 350 420 438 440 458	121412855706
STPT(10)	1605275232763865459	0 2 18 20 30 32 42 44 60 62	235071146802
STPT(10)	1605275298453655427	0 2 30 32 42 44 54 56 84 86	300760936770
SPT(16)	1605275359142488591	0 12 42 46 90 96 106 112 270 276 286 292 336 340 370 382	361449769934
TPT(14)	1605275413821617729	0 2 72 74 102 104 168 170 240 242 378 380 438 440	416128899072