Prime p₀= 1127402001246841247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 100 2 76 2 28 2 16 2 28 2 (?)
a_n: 0 2 42 44 144 146 222 224 252 254 270 272 300 302
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: 302
Found by: crashtech
db: batch=76, k=14, 40 100 76 28 16 28

SPT(16)	1127400911052840569	0 8 38 54 78 84 110 120 122 132 158 164 188 204 234 242	-1090194000678
SPT(16)	1127401131298705369	0 12 52 54 58 64 78 144 148 214 228 234 238 240 280 292	-869948135878
SPT(16)	1127401386501418307	0 2 24 56 60 96 114 122 174 182 200 236 240 272 294 296	-614745422940
STPT(10)	1127401391237832119	0 2 12 14 90 92 168 170 180 182	-610009009128
STPT(10)	1127401629183619091	0 2 30 32 78 80 126 128 156 158	-372063222156
STPT(10)	1127401855139740721	0 2 30 32 78 80 126 128 156 158	-146107100526
SPT(16)	1127402375980820363	0 6 56 68 74 98 116 180 314 378 396 420 426 438 488 494	374733979116
STPT(10)	1127403030385747901	0 2 30 32 60 62 90 92 120 122	1029138906654
SPT(16)	1127403127752235423	0 64 94 130 154 160 190 196 228 234 264 270 294 330 360 424	1126505394176
TPT(14)	1127403431978933507	0 2 60 62 72 74 144 146 180 182 210 212 222 224	1430732092260
SPT(16)	1127403578324182391	0 42 78 92 102 108 128 176 192 240 260 266 276 290 326 368	1577077341144