Prime p₀= 2093317776091763861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 52 2 76 2 28 2 28 2 16 2 (?)
a_n: 0 2 126 128 180 182 258 260 288 290 318 320 336 338
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: 338
Found by: JonS
db: batch=80, k=14, 124 52 76 28 28 16

STPT(10)	2093317256805401069	0 2 42 44 60 62 78 80 120 122	-519286362792
SPT(16)	2093317406189464459	0 4 28 54 58 78 88 130 138 180 190 210 214 240 264 268	-369902299402
STPT(10)	2093317444058547701	0 2 36 38 78 80 120 122 156 158	-332033216160
STPT(12)	2093317570567532081	0 2 78 80 108 110 180 182 210 212 288 290	-205524231780
SPT(16)	2093317635166748953	0 18 48 76 78 84 100 130 144 174 190 196 198 226 256 274	-140925014908
SPT(16)	2093317653528755893	0 10 24 30 66 70 96 114 136 154 180 184 220 226 240 250	-122563007968
STPT(10)	2093317820668261877	0 2 30 32 42 44 54 56 84 86	44576498016
SPT(16)	2093317880075745439	0 100 114 138 154 184 198 204 244 250 264 294 310 334 348 448	103983981578
SPT(16)	2093318111227431251	0 18 38 50 62 72 78 120 128 170 176 186 198 210 230 248	335135667390
SPT(16)	2093318158770872717	0 32 36 56 62 90 120 132 134 146 176 204 210 230 234 266	382679108856
SPT(16)	2093318184679357873	0 4 18 30 34 40 94 100 168 174 228 234 238 250 264 268	408587594012