Prime p₀= 2036989622670382241 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: Landjunge
db: batch=80, k=12, 2 28 2 46 2 40

SPT(16)	2036988321590331841	0 6 28 88 106 130 138 180 196 238 246 270 288 348 370 376	-1301080050400
SPT(16)	2036988524652866753	0 8 38 50 78 86 108 128 258 278 300 308 336 348 378 386	-1098017515488
STPT(10)	2036988692097663719	0 2 18 20 30 32 42 44 60 62	-930572718522
TPT(16)	2036988720962444549	0 2 18 20 150 152 210 212 318 320 378 380 390 392 420 422	-901707937692
SPT(16)	2036989558353005989	0 42 52 84 88 118 130 150 172 192 204 234 238 270 280 322	-64317376252
STPT(10)	2036989585117531127	0 2 30 32 72 74 114 116 144 146	-37552851114
SPT(16)	2036990305097006719	0 12 48 52 118 124 144 172 210 238 258 264 330 334 370 382	682426624478
TPT(14)	2036991031118847227	0 2 12 14 54 56 72 74 222 224 240 242 282 284	1408448464986
STPT(12)	2036991031118847239	0 2 42 44 60 62 210 212 228 230 270 272	1408448464998
STPT(10)	2036991562745783417	0 2 42 44 72 74 102 104 144 146	1940075401176
STPT(10)	2036991667964141477	0 2 30 32 42 44 54 56 84 86	2045293759236