Prime p₀= 1235150802021148457 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: damotbe
db: batch=77, k=10, 2 28 2 10 2

STPT(12)	1235149776289986329	0 2 12 14 42 44 78 80 108 110 120 122	-1025731162128
SPT(16)	1235149921089556061	0 56 66 78 140 150 188 200 258 270 308 318 380 392 402 458	-880931592396
STPT(10)	1235150050774132847	0 2 54 56 72 74 90 92 144 146	-751247015610
STPT(10)	1235150140032487487	0 2 30 32 42 44 54 56 84 86	-661988660970
SPT(16)	1235150260940645767	0 6 12 34 46 54 64 130 156 222 232 240 252 274 280 286	-541080502690
STPT(10)	1235150313646821287	0 2 72 74 102 104 132 134 204 206	-488374327170
TPT(14)	1235151318191627489	0 2 30 32 90 92 120 122 210 212 228 230 240 242	516170479032
SPT(16)	1235151414228697717	0 6 72 94 114 120 124 136 180 192 196 202 222 244 310 316	612207549260
SPT(16)	1235151467261911223	0 24 26 44 56 168 234 258 296 320 386 498 510 528 530 554	665240762766
SPT(16)	1235151531446213023	0 90 114 118 136 154 196 210 334 348 390 408 426 430 454 544	729425064566
STPT(10)	1235151966841269077	0 2 30 32 42 44 54 56 84 86	1164820120620