Prime p₀= 2569854377285968679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 10 2 28 2 148 2 28 2 (?)
a_n: 0 2 12 14 18 20 30 32 60 62 210 212 240 242
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: 242
Found by: RFGuy_KCCO
db: batch=82, k=14, 10 4 10 28 148 28

STPT(10)	2569852906497497891	0 2 6 8 48 50 90 92 96 98	-1470788470788
STPT(10)	2569853099416446659	0 2 12 14 30 32 48 50 60 62	-1277869522020
SPT(16)	2569853222955670049	0 48 80 132 180 194 224 234 308 318 348 362 410 462 494 542	-1154330298630
TPT(14)	2569853931287469731	0 2 36 38 48 50 90 92 186 188 210 212 288 290	-445998498948
TPT(14)	2569854212024281067	0 2 30 32 72 74 84 86 114 116 144 146 240 242	-165261687612
SPT(16)	2569854251201421227	0 24 26 86 116 156 186 194 492 500 530 570 600 660 662 686	-126084547452
STPT(10)	2569854643431575699	0 2 12 14 90 92 168 170 180 182	266145607020
SPT(16)	2569854891362859203	0 6 24 26 78 80 104 146 168 210 234 236 288 290 308 314	514076890524
TPT(14)	2569856474629803221	0 2 30 32 36 38 288 290 300 302 408 410 420 422	2097343834542
STPT(10)	2569856681065126469	0 2 78 80 120 122 162 164 240 242	2303779157790
TPT(14)	2569856702696560439	0 2 30 32 120 122 162 164 222 224 240 242 360 362	2325410591760