Prime p₀= 1648442443270833251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 40 2 10 2 34 2 118 2 (?)
a_n: 0 2 30 32 96 98 138 140 150 152 186 188 306 308
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: 308
Found by: Theadalus
db: batch=78, k=14, 28 64 40 10 34 118

SPT(16)	1648440992550197441	0 8 32 66 68 120 138 168 260 290 308 360 362 396 420 428	-1450720635810
STPT(10)	1648441167408109817	0 2 12 14 42 44 72 74 84 86	-1275862723434
TPT(16)	1648441255569590981	0 2 36 38 48 50 168 170 186 188 228 230 288 290 336 338	-1187701242270
SPT(13)	1648441696132565177	0 6 12 42 72 96 126 156 180 210 240 246 252	-747138268074
SPT(16)	1648442033645702627	0 2 26 72 90 104 126 192 254 320 342 356 374 420 444 446	-409625130624
SPT(13)	1648442426751847843	0 6 54 114 156 174 210 246 264 306 366 414 420	-16518985408
STPT(10)	1648442632167416087	0 2 30 32 60 62 90 92 120 122	188896582836
SPT(16)	1648442778188516203	0 4 10 18 46 64 66 76 78 88 90 108 136 144 150 154	334917682952
STPT(10)	1648443047582888111	0 2 36 38 78 80 120 122 156 158	604312054860
SPT(16)	1648443275977397521	0 6 18 46 102 112 150 166 222 238 276 286 342 370 382 388	832706564270
SPT(16)	1648443427507353013	0 6 18 40 66 84 108 144 160 196 220 238 264 286 298 304	984236519762