Prime p₀= 2098962141098176091 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 16 2 16 2 10 2 10 2 (?)
a_n: 0 2 78 80 90 92 108 110 126 128 138 140 150 152
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: 152
Found by: Landjunge
db: batch=80, k=14, 76 10 16 16 10 10

SPT(16)	2098959531789703571	0 62 80 156 182 216 258 260 288 290 332 366 392 468 486 548	-2609308472520
SPT(16)	2098959892012014833	0 8 48 54 68 74 116 168 236 288 330 336 350 356 396 404	-2249086161258
SPT(16)	2098960012578075721	0 22 46 60 90 142 148 162 196 210 216 268 298 312 336 358	-2128520100370
TPT(14)	2098961046903057317	0 2 54 56 114 116 120 122 192 194 234 236 324 326	-1094195118774
SPT(16)	2098961351389879871	0 20 32 60 90 98 102 138 152 188 192 200 230 258 270 290	-789708296220
STPT(10)	2098961579147378117	0 2 42 44 72 74 102 104 144 146	-561950797974
STPT(10)	2098962141098176169	0 2 12 14 30 32 48 50 60 62	78
SPT(16)	2098962411890157271	0 16 42 96 106 120 138 148 300 310 328 342 352 406 432 448	270791981180
STPT(10)	2098965578986020497	0 2 30 32 42 44 54 56 84 86	3437887844406
TPT(14)	2098965695383681559	0 2 12 14 30 32 138 140 162 164 222 224 240 242	3554285505468
STPT(10)	2098966115203566911	0 2 30 32 78 80 126 128 156 158	3974105390820