Prime p₀= 2448121018938522659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 76 2 10 2 88 2 64 2 28 2 (?)
a_n: 0 2 132 134 210 212 222 224 312 314 378 380 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 130 76 10 88 64 28

SPT(16)	2448119738830954723	0 16 36 78 90 126 138 148 168 178 190 226 238 280 300 316	-1280107567936
SPT(16)	2448119994912375661	0 42 48 52 108 126 132 160 168 196 202 220 276 280 286 328	-1024026146998
STPT(10)	2448120391651253489	0 2 18 20 60 62 102 104 120 122	-627287269170
SPT(16)	2448120538297320833	0 20 38 48 74 108 116 170 204 258 266 300 326 336 354 374	-480641201826
STPT(10)	2448120601192014641	0 2 6 8 48 50 90 92 96 98	-417746508018
TPT(14)	2448120942172910159	0 2 42 44 72 74 108 110 138 140 150 152 198 200	-76765612500
STPT(12)	2448121033692377777	0 2 30 32 54 56 60 62 84 86 114 116	14753855118
STPT(10)	2448121256439421487	0 2 12 14 42 44 72 74 84 86	237500898828
SPT(16)	2448121547124631361	0 8 42 48 78 128 132 140 168 176 180 230 260 266 300 308	528186108702
SPT(16)	2448121666615129187	0 44 60 72 96 156 180 242 264 326 350 410 434 446 462 506	647676606528
STPT(10)	2448121900089844241	0 2 6 8 48 50 90 92 96 98	881151321582