Prime p₀= 1082098368779669201 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 178 2 10 2 46 2 46 2 (?)
a_n: 0 2 6 8 48 50 228 230 240 242 288 290 336 338
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: Theadalus
db: batch=76, k=14, 4 40 178 10 46 46

STPT(10)	1082096122580690807	0 2 42 44 72 74 102 104 144 146	-2246198978394
SPT(16)	1082096141981494481	0 30 36 48 72 86 98 116 132 150 162 176 200 212 218 248	-2226798174720
STPT(10)	1082096511026061299	0 2 18 20 30 32 42 44 60 62	-1857753607902
STPT(10)	1082097579515492789	0 2 18 20 30 32 42 44 60 62	-789264176412
STPT(10)	1082097611958844067	0 2 30 32 72 74 114 116 144 146	-756820825134
SPT(16)	1082098213936067521	0 12 70 118 142 238 240 252 286 298 300 396 420 468 526 538	-154843601680
STPT(10)	1082099273730335681	0 2 6 8 18 20 30 32 36 38	904950666480
SPT(16)	1082099656048984019	0 24 44 84 104 108 170 174 188 192 254 258 278 318 338 362	1287269314818
STPT(10)	1082099780542461389	0 2 42 44 60 62 78 80 120 122	1411762792188
SPT(16)	1082099968928083019	0 24 50 74 104 140 144 158 234 248 252 288 318 342 368 392	1600148413818
STPT(10)	1082100128643236249	0 2 138 140 180 182 222 224 360 362	1759863567048