Prime p₀= 2751479074346635151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 58 2 22 2 16 2 16 2 40 2 (?)
a_n: 0 2 36 38 96 98 120 122 138 140 156 158 198 200
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: 200
Found by: [SG-FC] hl
db: batch=82, k=14, 34 58 22 16 16 40

SPT(16)	2751477638241747199	0 22 28 70 72 102 108 120 130 142 148 178 180 222 228 250	-1436104887952
SPT(16)	2751478224646694071	0 16 42 48 78 100 102 106 222 226 228 250 280 286 312 328	-849699941080
SPT(16)	2751478237941919463	0 6 24 26 38 48 120 126 158 164 236 246 258 260 278 284	-836404715688
STPT(10)	2751478244665316357	0 2 42 44 72 74 102 104 144 146	-829681318794
STPT(10)	2751478287310461167	0 2 30 32 42 44 54 56 84 86	-787036173984
SPT(16)	2751478791743415809	0 12 48 74 84 92 104 110 132 138 150 158 168 194 230 242	-282603219342
STPT(10)	2751479314633197329	0 2 18 20 30 32 42 44 60 62	240286562178
SPT(20)	2751479412903467261	0 30 32 56 66 96 116 126 138 140 168 170 182 192 212 242 252 276 278 308	338556832110
STPT(10)	2751479471457390407	0 2 24 26 42 44 60 62 84 86	397110755256
STPT(10)	2751479511457087529	0 2 18 20 30 32 42 44 60 62	437110452378
SPT(16)	2751479560540046117	0 12 42 90 116 152 174 200 216 242 264 300 326 374 404 416	486193410966