Prime p₀= 15504246017251679 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 4 2 52 2 28 2 34 2 (?)
a_n: 0 2 72 74 78 80 132 134 162 164 198 200
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: 200
Found by: stoneageman
db: batch=62, k=12, 70 4 52 28 34

SPT(14)	15504184237657117	0 46 70 106 114 160 256 300 396 442 450 486 510 556	-61779594562
SPT(14)	15504198033966349	0 42 58 70 94 108 114 178 184 198 222 234 250 292	-47983285330
TPT(12)	15504207600507599	0 2 78 80 150 152 162 164 198 200 288 290	-38416744080
SPT(14)	15504207719875067	0 30 36 42 120 134 144 152 162 176 254 260 266 296	-38297376612
SPT(14)	15504243566068373	0 84 116 174 204 218 228 296 306 320 350 408 440 524	-2451183306
SPT(16)	15504245606609321	0 8 38 60 78 90 92 116 132 156 158 170 188 210 240 248	-410642358
SPT(16)	15504261848198821	0 22 36 42 60 96 120 132 250 262 286 322 340 346 360 382	15830947142
SPT(14)	15504262671955957	0 6 54 76 96 106 124 162 180 190 210 232 280 286	16654704278
SPT(14)	15504263597947331	0 12 42 50 62 78 102 128 152 168 180 188 218 230	17580695652
SPT(14)	15504274392963067	0 4 54 60 64 70 82 132 144 150 154 160 210 214	28375711388
SPT(14)	15504282445352579	0 42 50 54 92 102 132 140 170 180 218 222 230 272	36428100900