Prime p₀= 1072009494169983539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 58 2 34 2 28 2 10 2 (?)
a_n: 0 2 30 32 102 104 162 164 198 200 228 230 240 242
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: 242
Found by: Skivelitis2
db: batch=76, k=14, 28 70 58 34 28 10

SPT(16)	1072006648515563249	0 60 90 98 102 104 114 194 228 308 318 320 324 332 362 422	-2845654420290
SPT(16)	1072007019635058841	0 36 76 78 88 120 130 132 166 168 178 210 220 222 262 298	-2474534924698
SPT(16)	1072007210651656681	0 22 48 78 108 112 132 150 160 178 198 202 232 262 288 310	-2283518326858
SPT(16)	1072008090383020481	0 8 38 42 60 62 140 158 210 228 306 308 326 330 360 368	-1403786963058
STPT(10)	1072008962714351279	0 2 48 50 60 62 72 74 120 122	-531455632260
STPT(10)	1072009488883645979	0 2 42 44 60 62 78 80 120 122	-5286337560
SPT(16)	1072009528061927813	0 50 78 96 98 114 116 120 134 138 140 156 158 176 204 254	33891944274
STPT(10)	1072009545853024577	0 2 30 32 42 44 54 56 84 86	51683041038
STPT(10)	1072009668280458497	0 2 42 44 72 74 102 104 144 146	174110474958
SPT(16)	1072009728685811131	0 16 28 46 52 60 88 100 138 150 178 186 192 210 222 238	234515827592
SPT(16)	1072010146041821017	0 30 36 42 54 120 124 154 162 192 196 262 274 280 286 316	651871837478