Prime p₀= 1233829436736128537 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(10)	1233828635947533761	0 2 36 38 78 80 120 122 156 158	-800788594776
SPT(18)	1233828716686449517	0 30 34 54 64 82 100 102 132 154 184 186 204 222 232 252 256 286	-720049679020
SPT(16)	1233828920361994603	0 10 54 136 160 190 196 216 238 258 264 294 318 400 444 454	-516374133934
SPT(16)	1233828923410252703	0 14 48 56 66 80 84 158 216 290 294 308 318 326 360 374	-513325875834
SPT(18)	1233829426203821789	0 44 80 84 114 122 150 210 212 222 224 284 312 320 350 354 390 434	-10532306748
SPT(16)	1233829429247435819	0 24 42 50 80 108 110 138 164 192 194 222 252 260 278 302	-7488692718
SPT(16)	1233829552035769651	0 28 40 42 48 78 118 120 130 132 172 202 208 210 222 250	115299641114
STPT(10)	1233829645586719799	0 2 48 50 60 62 72 74 120 122	208850591262
SPT(16)	1233829853396227979	0 20 30 38 50 68 78 84 134 140 150 168 180 188 198 218	416660099442
SPT(16)	1233830021558398951	0 10 12 16 36 46 58 82 126 150 162 172 192 196 198 208	584822270414
SPT(16)	1233830170681652623	0 76 78 88 100 118 126 144 160 178 186 204 216 226 228 304	733945524086