Prime p₀= 59982323146194269 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 46 2 10 2 34 2 70 2 (?)
a_n: 0 2 72 74 120 122 132 134 168 170 240 242
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: 242
Found by: nenym
db: batch=67, k=12, 70 46 10 34 70

SPT(14)	59982267284867573	0 44 60 84 104 114 140 174 200 210 230 254 270 314	-55861326696
TPT(12)	59982281590977017	0 2 24 26 72 74 84 86 114 116 180 182	-41555217252
SPT(14)	59982283199481001	0 78 88 120 130 168 190 216 238 276 286 318 328 406	-39946713268
SPT(16)	59982294921929209	0 22 30 40 70 100 162 174 238 250 312 342 372 382 390 412	-28224265060
SPT(14)	59982314813103073	0 28 34 58 84 100 108 136 144 160 186 210 216 244	-8333091196
SPT(14)	59982319623880867	0 16 24 64 72 76 142 174 240 244 252 292 300 316	-3522313402
SPT(14)	59982324243142247	0 44 50 56 60 74 86 114 126 140 144 150 156 200	1096947978
STPT(10)	59982340388879021	0 2 36 38 78 80 120 122 156 158	17242684752
SPT(14)	59982396553529029	0 10 24 30 34 54 60 82 88 108 112 118 132 142	73407334760
TPT(12)	59982400758465959	0 2 12 14 48 50 132 134 168 170 228 230	77612271690
TPT(12)	59982400885251587	0 2 42 44 54 56 72 74 114 116 120 122	77739057318