Prime p₀= 2048313207160341731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 52 2 76 2 28 2 28 2 40 2 (?)
a_n: 0 2 156 158 210 212 288 290 318 320 348 350 390 392
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: 392
Found by: JonS
db: batch=80, k=14, 154 52 76 28 28 40

STPT(10)	2048311428462743399	0 2 48 50 90 92 132 134 180 182	-1778697598332
STPT(10)	2048312034202801397	0 2 30 32 60 62 90 92 120 122	-1172957540334
STPT(10)	2048312191952417717	0 2 42 44 72 74 102 104 144 146	-1015207924014
SPT(16)	2048312334077616521	0 50 80 96 150 206 248 288 308 348 390 446 500 516 546 596	-873082725210
TPT(14)	2048312358813937001	0 2 30 32 60 62 120 122 126 128 168 170 198 200	-848346404730
SPT(16)	2048312899217239513	0 18 36 40 48 60 78 106 108 136 154 166 174 178 196 214	-307943102218
SPT(16)	2048313493923121193	0 20 30 44 80 98 156 174 230 248 306 324 360 374 384 404	286762779462
SPT(16)	2048313836807244289	0 24 34 70 90 108 132 142 150 160 184 202 222 258 268 292	629646902558
STPT(10)	2048314205400196301	0 2 96 98 168 170 240 242 336 338	998239854570
STPT(10)	2048314577357765399	0 2 42 44 90 92 138 140 180 182	1370197423668
STPT(10)	2048315175274437647	0 2 30 32 42 44 54 56 84 86	1968114095916