Prime p₀= 1977404611541877767 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 10 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 42 44 60 62 72 74
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: 74
Found by: Orange Kid
db: batch=80, k=12, 2 10 2 16 2 10

SPT(16)	1977403493269987351	0 72 100 162 186 192 226 232 240 246 280 286 310 372 400 472	-1118271890416
SPT(16)	1977403602330472319	0 68 110 150 170 240 248 254 384 390 398 468 488 528 570 638	-1009211405448
SPT(16)	1977404103917909963	0 86 90 108 140 158 170 174 200 204 216 234 266 284 288 374	-507623967804
STPT(10)	1977404264207841611	0 2 6 8 18 20 30 32 36 38	-347334036156
STPT(10)	1977404323189181639	0 2 18 20 30 32 42 44 60 62	-288352696128
SPT(16)	1977404556815795557	0 30 42 46 72 102 120 132 184 196 214 244 270 274 286 316	-54726082210
SPT(16)	1977404653196739589	0 18 40 54 78 118 190 210 292 312 384 424 448 462 484 502	41654861822
TPT(14)	1977404694564990737	0 2 12 14 72 74 102 104 114 116 324 326 462 464	83023112970
SPT(16)	1977404776646523779	0 14 48 74 80 90 104 198 200 294 308 318 324 350 384 398	165104646012
TPT(14)	1977404886776186051	0 2 6 8 30 32 90 92 120 122 186 188 240 242	275234308284
STPT(10)	1977405008260360487	0 2 30 32 42 44 54 56 84 86	396718482720