Prime p₀= 2040306281453860919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 160 2 46 2 10 2 124 2 (?)
a_n: 0 2 48 50 90 92 252 254 300 302 312 314 438 440
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: 440
Found by: Dingo
db: batch=80, k=14, 46 40 160 46 10 124

STPT(10)	2040304115907787781	0 2 6 8 18 20 30 32 36 38	-2165546073138
STPT(10)	2040304628771168699	0 2 42 44 60 62 78 80 120 122	-1652682692220
STPT(10)	2040305114393866247	0 2 30 32 72 74 114 116 144 146	-1167059994672
SPT(16)	2040305362592822141	0 20 48 90 102 138 150 152 216 218 230 266 278 320 348 368	-918861038778
SPT(16)	2040305755113177571	0 28 88 90 120 126 160 180 238 258 292 298 328 330 390 418	-526340683348
STPT(10)	2040306208883791697	0 2 30 32 60 62 90 92 120 122	-72570069222
SPT(16)	2040306499515954601	0 18 22 46 72 106 120 126 142 148 162 196 222 246 250 268	218062093682
SPT(16)	2040306784990720069	0 40 90 124 148 204 250 264 274 288 334 390 414 448 498 538	503536859150
SPT(16)	2040306818604599977	0 6 34 42 60 112 126 160 186 220 234 286 304 312 340 346	537150739058
STPT(10)	2040307267772298191	0 2 6 8 18 20 30 32 36 38	986318437272
SPT(16)	2040307605957346277	0 2 60 62 74 90 116 156 170 210 236 252 264 266 324 326	1324503485358