Prime p₀= 2511761271374100257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 16 2 148 2 28 2 160 2 (?)
a_n: 0 2 30 32 54 56 72 74 222 224 252 254 414 416
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: 416
Found by: JayPi
db: batch=82, k=14, 28 22 16 148 28 160

SPT(16)	2511758740705312243	0 6 34 48 78 88 94 136 228 270 276 286 316 330 358 364	-2530668788014
STPT(10)	2511758937505801799	0 2 12 14 30 32 48 50 60 62	-2333868298458
STPT(10)	2511759072784714271	0 2 36 38 78 80 120 122 156 158	-2198589385986
SPT(16)	2511760030050402133	0 58 60 94 120 126 150 210 214 274 298 304 330 364 366 424	-1241323698124
STPT(10)	2511760451154525689	0 2 18 20 30 32 42 44 60 62	-820219574568
SPT(16)	2511761178065965027	0 30 54 126 142 144 154 184 222 252 262 264 280 352 376 406	-93308135230
STPT(10)	2511761629807875017	0 2 60 62 72 74 84 86 144 146	358433774760
SPT(16)	2511761674762703719	0 82 94 114 124 144 180 184 210 214 250 270 280 300 312 394	403388603462
SPT(16)	2511761974396506647	0 30 54 56 116 140 144 156 170 182 186 210 270 272 296 326	703022406390
STPT(10)	2511762318241757561	0 2 36 38 78 80 120 122 156 158	1046867657304
TPT(14)	2511762466137609779	0 2 42 44 90 92 108 110 132 134 150 152 162 164	1194763509522