Prime p₀= 18961586595134567 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 40 2 34 2 28 2 40 2 (?)
a_n: 0 2 72 74 114 116 150 152 180 182 222 224
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: 224
Found by: gaballus
db: batch=62, k=12, 70 40 34 28 40

SPT(14)	18961559947394423	0 36 50 80 116 134 140 144 150 168 204 234 248 284	-26647740144
TPT(12)	18961570507592099	0 2 30 32 60 62 78 80 162 164 168 170	-16087542468
SPT(14)	18961578884085053	0 14 38 54 74 84 104 234 254 264 284 300 324 338	-7711049514
TPT(12)	18961579333169351	0 2 6 8 60 62 156 158 180 182 228 230	-7261965216
SPT(14)	18961583716795351	0 36 58 60 66 106 126 172 192 232 238 240 262 298	-2878339216
SPT(14)	18961586378762647	0 12 34 54 90 112 124 132 144 166 202 222 244 256	-216371920
SPT(14)	18961587568836721	0 40 78 102 106 130 160 168 198 222 226 250 288 328	973702154
SPT(14)	18961600693344919	0 10 84 114 168 180 208 210 238 250 304 334 408 418	14098210352
SPT(14)	18961601473779427	0 4 42 114 124 154 172 192 210 240 250 322 360 364	14878644860
TPT(12)	18961611443185421	0 2 90 92 138 140 150 152 168 170 180 182	24848050854
STPT(10)	18961617658052339	0 2 48 50 90 92 132 134 180 182	31062917772