Prime p₀= 2944026037316604827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 148 2 46 2 40 2 40 2 (?)
a_n: 0 2 30 32 72 74 222 224 270 272 312 314 354 356
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: 356
Found by: gemini8
db: batch=82, k=14, 28 40 148 46 40 40

STPT(10)	2944025386711194977	0 2 42 44 72 74 102 104 144 146	-650605409850
SPT(16)	2944025493272427503	0 20 36 66 78 80 98 104 150 156 174 176 188 218 234 254	-544044177324
STPT(10)	2944025534645002271	0 2 36 38 78 80 120 122 156 158	-502671602556
SPT(16)	2944025633982818257	0 34 36 46 60 82 120 124 132 136 174 196 210 220 222 256	-403333786570
SPT(16)	2944025686742386937	0 26 54 66 84 96 140 152 174 186 230 242 260 272 300 326	-350574217890
STPT(10)	2944025872666565969	0 2 42 44 60 62 78 80 120 122	-164650038858
STPT(10)	2944026387926731199	0 2 30 32 120 122 210 212 240 242	350610126372
STPT(10)	2944026566384523857	0 2 30 32 42 44 54 56 84 86	529067919030
STPT(10)	2944026705720609989	0 2 18 20 30 32 42 44 60 62	668404005162
STPT(10)	2944027073072115851	0 2 6 8 18 20 30 32 36 38	1035755511024
SPT(18)	2944027436920690261	0 12 16 22 36 40 72 78 82 126 130 136 168 172 186 192 196 208	1399604085434