Prime p₀= 3035239042262620979 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	3035237390005960481	0 2 38 108 128 138 168 212 336 380 410 420 440 510 546 548	-1652256660498
SPT(16)	3035237820168282251	0 50 98 120 158 162 182 228 332 378 398 402 440 462 510 560	-1222094338728
SPT(16)	3035237832612699001	0 28 58 126 148 150 168 198 220 250 268 270 292 360 390 418	-1209649921978
SPT(16)	3035237974525959023	0 6 20 26 30 38 48 66 170 188 198 206 210 216 230 236	-1067736661956
SPT(18)	3035238335133239981	0 26 48 50 72 78 110 120 146 162 188 198 230 236 258 260 282 308	-707129380998
SPT(16)	3035238481949308997	0 14 24 26 36 50 84 90 110 116 150 164 174 176 186 200	-560313311982
SPT(16)	3035239390272817051	0 52 100 106 112 126 132 142 330 340 346 360 366 372 420 472	348010196072
SPT(16)	3035239429571804101	0 22 30 40 82 136 162 192 196 226 252 306 348 358 366 388	387309183122
STPT(10)	3035239438058660891	0 2 36 38 78 80 120 122 156 158	395796039912
STPT(10)	3035239688082205649	0 2 42 44 90 92 138 140 180 182	645819584670
STPT(10)	3035239771832430467	0 2 30 32 42 44 54 56 84 86	729569809488