Prime p₀= 789047473988494949 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: [SG]FX
db: batch=73, k=12, 2 16 2 22 2 4

STPT(10)	789046664690156567	0 2 60 62 102 104 144 146 204 206	-809298338382
TPT(14)	789046825696067429	0 2 78 80 138 140 162 164 168 170 240 242 252 254	-648292427520
SPT(16)	789046833648567233	0 24 50 84 104 134 138 150 164 176 180 210 230 264 290 314	-640339927716
STPT(10)	789047150761285847	0 2 30 32 72 74 114 116 144 146	-323227209102
SPT(16)	789047176134309707	0 26 66 84 140 150 174 236 270 332 356 366 422 440 480 506	-297854185242
TPT(14)	789047391844506101	0 2 30 32 126 128 156 158 168 170 180 182 270 272	-82143988848
SPT(16)	789047619723478109	0 2 8 38 102 144 150 164 198 212 218 260 324 354 360 362	145734983160
SPT(16)	789047663421425909	0 12 54 62 74 78 120 144 218 242 284 288 300 308 350 362	189432930960
SPT(16)	789047680551518429	0 2 18 74 90 104 132 192 230 290 318 332 348 404 420 422	206563023480
SPT(16)	789048078337409641	0 18 36 60 70 78 106 108 130 132 160 168 178 202 220 238	604348914692
SPT(18)	789048083076993833	0 30 36 44 84 86 98 164 176 198 210 276 288 290 330 338 344 374	609088498884