Prime p₀= 2131066823864341499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 28 2 4 2 40 2 130 2 16 2 (?)
a_n: 0 2 132 134 162 164 168 170 210 212 342 344 360 362
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 362
Found by: arkiss
db: batch=80, k=14, 130 28 4 40 130 16

SPT(18)	2131065976045612259	0 8 38 42 68 84 90 92 134 168 210 212 218 234 260 264 294 302	-847818729240
SPT(16)	2131066014683476693	0 16 18 58 138 186 196 208 216 228 238 286 366 406 408 424	-809180864806
SPT(16)	2131066161676285349	0 42 50 54 102 110 284 300 314 330 504 512 560 564 572 614	-662188056150
STPT(10)	2131066197747210509	0 2 78 80 120 122 162 164 240 242	-626117130990
SPT(16)	2131066524172984217	0 30 42 54 114 152 164 182 264 282 294 332 392 404 416 446	-299691357282
STPT(10)	2131066665024675977	0 2 30 32 42 44 54 56 84 86	-158839665522
STPT(10)	2131066906007323979	0 2 30 32 60 62 90 92 120 122	82142982480
STPT(10)	2131067027074771571	0 2 30 32 60 62 90 92 120 122	203210430072
STPT(10)	2131067608321828619	0 2 42 44 60 62 78 80 120 122	784457487120
SPT(16)	2131067647875448823	0 6 38 56 66 144 146 156 158 168 170 248 258 276 308 314	824011107324
SPT(16)	2131067839115276909	0 80 102 108 128 150 168 182 210 224 242 264 284 290 312 392	1015250935410