Prime p₀= 2592878309381668109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 40 2 118 2 58 2 16 2 (?)
a_n: 0 2 48 50 60 62 102 104 222 224 282 284 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 46 10 40 118 58 16

SPT(16)	2592877813069951919	0 12 14 50 68 84 92 98 114 120 128 144 162 198 200 212	-496311716190
SPT(16)	2592877857724177747	0 12 42 52 66 72 96 136 210 250 274 280 294 304 334 346	-451657490362
STPT(10)	2592878131391447201	0 2 30 32 78 80 126 128 156 158	-177990220908
SPT(16)	2592878188031644787	0 26 66 84 92 114 156 206 240 290 332 354 362 380 420 446	-121350023322
SPT(16)	2592878210802383587	0 52 66 94 100 160 180 210 226 256 276 336 342 370 384 436	-98579284522
SPT(18)	2592878306743674913	0 6 40 54 60 94 118 138 144 160 166 186 210 244 250 264 298 304	-2637993196
STPT(10)	2592878533711174739	0 2 18 20 30 32 42 44 60 62	224329506630
STPT(10)	2592878660181536327	0 2 30 32 42 44 54 56 84 86	350799868218
STPT(10)	2592878744510595389	0 2 30 32 60 62 90 92 120 122	435128927280
SPT(16)	2592878778571074863	0 30 48 56 80 114 116 126 188 198 200 234 258 266 284 314	469189406754
STPT(10)	2592878956937999591	0 2 36 38 78 80 120 122 156 158	647556331482