Prime p₀= 59695706395612631 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 28 2 10 2 (?)
a_n: 0 2 36 38 66 68 78 80 108 110 120 122
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: 122
Found by: JonS
db: batch=67, k=12, 34 28 10 28 10

SPT(14)	59695682439990787	0 10 12 24 84 112 166 180 234 262 322 334 336 346	-23955621844
SPT(14)	59695683014384297	0 2 30 62 66 90 132 140 182 206 210 242 270 272	-23381228334
SPT(14)	59695684058971843	0 24 28 60 84 100 108 130 138 154 178 210 214 238	-22336640788
SPT(14)	59695687828451099	0 8 14 20 42 50 74 78 102 110 132 138 144 152	-18567161532
SPT(14)	59695703421479791	0 18 30 58 66 96 100 138 142 172 180 208 220 238	-2974132840
SPT(14)	59695703982460201	0 18 42 60 78 90 106 132 148 160 178 196 220 238	-2413152430
SPT(14)	59695709112013487	0 50 66 80 102 104 126 140 162 164 186 200 216 266	2716400856
SPT(14)	59695719447812741	0 20 56 62 80 86 108 170 192 198 216 222 258 278	13052200110
SPT(14)	59695719525829379	0 12 18 38 68 72 188 192 308 312 342 362 368 380	13130216748
SPT(14)	59695732855229881	0 18 46 70 78 90 172 186 268 280 288 312 340 358	26459617250
SPT(14)	59695734187447073	0 14 36 48 114 126 156 218 248 260 326 338 360 374	27791834442