Prime p₀= 288653851981759841 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 16 2 16 2 (?)
a_n: 0 2 36 38 78 80 90 92 108 110 126 128
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: 128
Found by: [AF>Amis des Lapins] Ceclo
db: batch=69, k=12, 34 40 10 16 16

SPT(14)	288653759808611693	0 20 74 90 114 144 158 210 224 254 278 294 348 368	-92173148148
SPT(14)	288653816879521277	0 2 32 42 66 86 92 150 156 176 200 210 240 242	-35102238564
SPT(14)	288653817786586451	0 30 38 72 78 90 96 122 128 140 146 180 188 218	-34195173390
SPT(14)	288653820328530277	0 10 12 34 76 82 112 144 174 180 222 244 246 256	-31653229564
SPT(14)	288653820916021219	0 28 88 120 138 148 150 250 252 262 280 312 372 400	-31065738622
SPT(14)	288653848812182759	0 14 42 50 54 68 92 180 204 218 222 230 258 272	-3169577082
SPT(14)	288653863904484041	0 8 32 38 62 78 80 120 122 138 162 168 192 200	11922724200
TPT(12)	288653878631078489	0 2 42 44 48 50 90 92 180 182 240 242	26649318648
SPT(14)	288653880235577713	0 24 70 84 90 94 108 136 150 154 160 174 220 244	28253817872
SPT(14)	288653888437980649	0 30 58 84 90 94 114 154 174 178 184 210 238 268	36456220808
SPT(14)	288653892489051203	0 60 74 80 134 168 186 188 206 240 294 300 314 374	40507291362