Prime p₀= 393315224404389587 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 40 2 16 2 106 2 40 2 (?)
a_n: 0 2 42 44 84 86 102 104 210 212 252 254
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: 254
Found by: Cruncher Pete
db: batch=70, k=12, 40 40 16 106 40

SPT(14)	393315157086733229	0 20 32 50 54 78 104 138 164 188 192 210 222 242	-67317656358
SPT(14)	393315162586495453	0 30 40 108 118 124 126 148 150 156 166 234 244 274	-61817894134
SPT(16)	393315180450870233	0 44 134 150 168 210 218 230 234 246 254 296 314 330 420 464	-43953519354
SPT(14)	393315184094172139	0 18 48 60 78 90 174 184 268 280 298 310 340 358	-40310217448
STPT(10)	393315204007228049	0 2 42 44 120 122 198 200 240 242	-20397161538
TPT(12)	393315211009094447	0 2 54 56 150 152 204 206 360 362 390 392	-13395295140
SPT(14)	393315264032455879	0 10 52 58 60 72 88 132 148 160 162 168 210 220	39628066292
SPT(16)	393315269518785907	0 16 30 40 54 72 76 94 132 150 154 172 186 196 210 226	45114396320
TPT(14)	393315281024628329	0 2 12 14 78 80 90 92 162 164 210 212 360 362	56620238742
SPT(14)	393315287995969033	0 30 36 60 78 88 126 178 216 226 244 268 274 304	63591579446
SPT(14)	393315321871288991	0 30 72 102 128 270 290 318 338 480 506 536 578 608	97466899404