Prime p₀= 2109850210791198779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 58 2 28 2 40 2 40 2 (?)
a_n: 0 2 12 14 78 80 138 140 168 170 210 212 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 10 64 58 28 40 40

SPT(16)	2109848260544372021	0 36 60 90 102 126 182 218 240 276 332 356 368 398 422 458	-1950246826758
STPT(10)	2109848551425403037	0 2 60 62 72 74 84 86 144 146	-1659365795742
SPT(16)	2109848613119400467	0 2 30 44 74 96 132 144 152 164 200 222 252 266 294 296	-1597671798312
STPT(10)	2109848840198865971	0 2 6 8 18 20 30 32 36 38	-1370592332808
SPT(16)	2109849011252646803	0 20 38 54 110 128 156 194 210 248 276 294 350 366 384 404	-1199538551976
STPT(10)	2109849033268817261	0 2 36 38 78 80 120 122 156 158	-1177522381518
STPT(10)	2109850427356764941	0 2 36 38 78 80 120 122 156 158	216565566162
STPT(10)	2109850487489953289	0 2 12 14 90 92 168 170 180 182	276698754510
SPT(16)	2109850543266215797	0 40 54 106 120 166 264 274 276 286 384 430 444 496 510 550	332475017018
SPT(16)	2109850634643746993	0 8 26 98 110 138 150 168 176 194 206 234 246 318 336 344	423852548214
SPT(16)	2109851088870142763	0 6 8 48 56 74 78 84 110 116 120 138 146 186 188 194	878078943984