Prime p₀= 1297139862116539619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 58 2 40 2 94 2 40 2 (?)
a_n: 0 2 48 50 120 122 180 182 222 224 318 320 360 362
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: Cruncher Pete
db: batch=77, k=14, 46 70 58 40 94 40

STPT(10)	1297138361828340929	0 2 42 44 120 122 198 200 240 242	-1500288198690
SPT(16)	1297139001319360061	0 18 30 38 156 158 162 168 200 206 210 212 330 338 350 368	-860797179558
SPT(16)	1297139042256672721	0 16 22 40 52 58 96 100 108 112 150 156 168 186 192 208	-819859866898
SPT(16)	1297139517946694743	0 24 46 66 96 100 114 126 154 166 180 184 214 234 256 280	-344169844876
SPT(16)	1297139619458261533	0 28 34 54 64 70 106 108 166 168 204 210 220 240 246 274	-242658278086
SPT(18)	1297139674752395611	0 12 42 88 106 118 172 180 186 232 238 246 300 312 330 376 406 418	-187364144008
SPT(16)	1297140096940062407	0 14 50 54 96 110 114 132 134 152 156 170 212 216 252 266	234823522788
SPT(16)	1297140218817663349	0 12 24 42 52 54 84 100 162 178 208 210 220 238 250 262	356701123730
STPT(10)	1297140260152383341	0 2 36 38 78 80 120 122 156 158	398035843722
TPT(14)	1297140416987955389	0 2 48 50 120 122 132 134 192 194 348 350 420 422	554871415770
SPT(16)	1297140479668273637	0 42 50 150 192 234 314 372 374 432 512 554 596 696 704 746	617551734018