Prime p₀= 2317796395655701241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 100 2 34 2 40 2 28 2 (?)
a_n: 0 2 78 80 108 110 210 212 246 248 288 290 318 320
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: 320
Found by: eclipse99
db: batch=81, k=14, 76 28 100 34 40 28

SPT(16)	2317795056926478187	0 42 66 70 76 90 120 130 132 142 172 186 192 196 220 262	-1338729223054
SPT(16)	2317795509237832699	0 34 48 70 108 150 174 220 228 274 298 340 378 400 414 448	-886417868542
SPT(13)	2317795553707077247	0 30 66 84 126 144 150 156 174 216 234 270 300	-841948623994
STPT(10)	2317795820366122709	0 2 18 20 30 32 42 44 60 62	-575289578532
STPT(10)	2317796131049798261	0 2 36 38 78 80 120 122 156 158	-264605902980
SPT(18)	2317796184416018123	0 38 48 54 96 110 188 200 210 254 264 276 354 368 410 416 426 464	-211239683118
STPT(10)	2317796868556873931	0 2 78 80 108 110 138 140 216 218	472901172690
STPT(10)	2317797456118829051	0 2 6 8 48 50 90 92 96 98	1060463127810
SPT(16)	2317797704889080819	0 42 62 74 80 84 108 122 150 164 188 192 198 210 230 272	1309233379578
SPT(16)	2317797926874860371	0 18 30 36 42 90 112 156 172 216 238 286 292 298 310 328	1531219159130
STPT(10)	2317798029957480281	0 2 30 32 78 80 126 128 156 158	1634301779040