Prime p₀= 2273970018282711779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2273969240212331023	0 18 124 138 150 154 190 208 216 234 270 274 286 300 406 424	-778070380756
SPT(16)	2273969248479249631	0 10 58 76 78 112 150 186 202 238 276 310 312 330 378 388	-769803462148
STPT(10)	2273969432168416649	0 2 18 20 30 32 42 44 60 62	-586114295130
SPT(16)	2273969500804002481	0 12 46 90 102 130 168 208 210 250 288 316 328 372 406 418	-517478709298
STPT(10)	2273969537747347091	0 2 36 38 78 80 120 122 156 158	-480535364688
SPT(16)	2273969979364511663	0 14 20 30 36 86 126 156 158 188 228 278 284 294 300 314	-38918200116
STPT(10)	2273970361708037087	0 2 30 32 42 44 54 56 84 86	343425325308
STPT(10)	2273970576482903237	0 2 30 32 60 62 90 92 120 122	558200191458
STPT(10)	2273971110233819537	0 2 72 74 102 104 132 134 204 206	1091951107758
SPT(16)	2273971327736220911	0 2 32 42 80 140 156 162 200 206 222 282 320 330 360 362	1309453509132
STPT(10)	2273971547093279951	0 2 30 32 78 80 126 128 156 158	1528810568172