Prime p₀= 2036991031118847239 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 148 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 210 212 228 230 270 272
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: 272
Found by: Landjunge
db: batch=80, k=12, 2 40 2 16 2 148

TPT(16)	2036988720962444549	0 2 18 20 150 152 210 212 318 320 378 380 390 392 420 422	-2310156402690
SPT(16)	2036989558353005989	0 42 52 84 88 118 130 150 172 192 204 234 238 270 280 322	-1472765841250
STPT(10)	2036989585117531127	0 2 30 32 72 74 114 116 144 146	-1446001316112
STPT(12)	2036989622670382241	0 2 30 32 78 80 120 122 168 170 198 200	-1408448464998
SPT(16)	2036990305097006719	0 12 48 52 118 124 144 172 210 238 258 264 330 334 370 382	-726021840520
TPT(14)	2036991031118847227	0 2 12 14 54 56 72 74 222 224 240 242 282 284	-12
STPT(10)	2036991562745783417	0 2 42 44 72 74 102 104 144 146	531626936178
STPT(10)	2036991667964141477	0 2 30 32 42 44 54 56 84 86	636845294238
STPT(10)	2036991729142922267	0 2 42 44 72 74 102 104 144 146	698024075028
STPT(12)	2036991766296837599	0 2 30 32 132 134 138 140 240 242 270 272	735177990360
SPT(16)	2036991924559740509	0 20 30 54 62 78 114 138 254 278 314 330 338 362 372 392	893440893270