Prime p₀= 2309330298825638087 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2309329213453910237	0 14 20 30 90 104 156 186 254 284 336 350 410 420 426 440	-1085371727850
STPT(10)	2309329515482073839	0 2 18 20 30 32 42 44 60 62	-783343564248
SPT(16)	2309329655881856303	0 14 20 36 44 48 54 56 78 80 86 90 98 114 120 134	-642943781784
STPT(10)	2309329830170329409	0 2 42 44 60 62 78 80 120 122	-468655308678
SPT(16)	2309329909281194141	0 2 108 122 138 146 168 182 366 380 402 410 426 440 546 548	-389544443946
SPT(16)	2309329971874037239	0 28 64 108 138 150 232 234 238 240 322 334 364 408 444 472	-326951600848
STPT(10)	2309330600593516151	0 2 36 38 78 80 120 122 156 158	301767878064
SPT(16)	2309330632248262243	0 34 70 90 106 108 148 174 280 306 346 348 364 384 420 454	333422624156
SPT(18)	2309330643882988097	0 50 56 86 110 140 144 152 164 282 294 302 306 336 360 390 396 446	345057350010
SPT(16)	2309330669683248361	0 12 16 82 90 96 100 112 126 138 142 148 156 222 226 238	370857610274
SPT(16)	2309331458897555749	0 4 10 60 88 90 118 130 138 150 178 180 208 258 264 268	1160071917662