Prime p₀= 2303425931680182191 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2303424715879690703	0 18 54 150 156 158 164 198 266 300 306 308 314 410 446 464	-1215800491488
STPT(10)	2303424726792531647	0 2 30 32 42 44 54 56 84 86	-1204887650544
SPT(16)	2303425176713090029	0 4 22 34 70 118 150 160 162 172 204 252 288 300 318 322	-754967092162
SPT(16)	2303425406122951469	0 30 42 62 84 102 108 128 144 164 170 188 210 230 242 272	-525557230722
STPT(10)	2303425647896544287	0 2 30 32 42 44 54 56 84 86	-283783637904
SPT(16)	2303425760269959001	0 18 40 42 46 52 136 150 208 222 306 312 316 318 340 358	-171410223190
STPT(10)	2303425959727959719	0 2 30 32 120 122 210 212 240 242	28047777528
TPT(14)	2303426471943346931	0 2 18 20 60 62 96 98 126 128 210 212 240 242	540263164740
SPT(16)	2303426826218549797	0 10 34 76 90 106 124 156 160 192 210 226 240 282 306 316	894538367606
STPT(10)	2303426932294620929	0 2 18 20 30 32 42 44 60 62	1000614438738
SPT(13)	2303426945369552699	0 12 42 48 60 78 90 102 120 132 138 168 180	1013689370508