Prime p₀= 741647712655853711 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 46 2 40 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 120 122 168 170 198 200
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 200
Found by: Theadalus
db: batch=73, k=12, 2 28 2 46 2 40

SPT(13)	741646140926771317	0 6 90 96 102 132 156 180 210 216 222 306 312	-1571729082394
SPT(16)	741646302179531657	0 2 12 72 86 132 156 240 266 350 374 420 434 494 504 506	-1410476322054
SPT(16)	741646461045289627	0 36 64 84 150 192 196 204 232 240 244 286 352 372 400 436	-1251610564084
STPT(10)	741647131412165549	0 2 18 20 30 32 42 44 60 62	-581243688162
STPT(10)	741647314405664879	0 2 42 44 60 62 78 80 120 122	-398250188832
TPT(14)	741647712655853669	0 2 42 44 72 74 120 122 162 164 210 212 240 242	-42
SPT(16)	741647756248781849	0 20 60 84 140 164 174 224 228 278 288 312 368 392 432 452	43592928138
TPT(14)	741647794215538589	0 2 150 152 162 164 192 194 198 200 222 224 348 350	81559684878
SPT(16)	741647807006813843	0 26 30 36 80 86 108 170 174 236 258 264 308 314 318 344	94350960132
SPT(16)	741648060450130459	0 40 84 90 142 150 168 204 238 274 292 300 352 358 402 442	347794276748
TPT(14)	741648281747152259	0 2 30 32 60 62 72 74 198 200 228 230 240 242	569091298548