Prime p₀= 2121198319112255417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 130 2 34 2 10 2 16 2 22 2 (?)
a_n: 0 2 12 14 144 146 180 182 192 194 210 212 234 236
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: 236
Found by: Landjunge
db: batch=80, k=14, 10 130 34 10 16 22

SPT(16)	2121196989356295791	0 6 20 42 50 66 78 96 122 140 152 168 176 198 212 218	-1329755959626
STPT(10)	2121197124250895567	0 2 30 32 60 62 90 92 120 122	-1194861359850
SPT(16)	2121197302168533709	0 18 102 130 138 150 190 220 222 252 292 304 312 340 424 442	-1016943721708
STPT(10)	2121197607387277721	0 2 30 32 78 80 126 128 156 158	-711724977696
SPT(16)	2121197894090909369	0 30 50 98 102 108 170 198 332 360 422 428 432 480 500 530	-425021346048
SPT(16)	2121198242447440859	0 8 30 48 62 80 98 110 150 162 180 198 212 230 252 260	-76664814558
STPT(10)	2121198387612475079	0 2 18 20 30 32 42 44 60 62	68500219662
SPT(16)	2121198486387840823	0 10 34 54 84 88 118 144 160 186 216 220 250 270 294 304	167275585406
STPT(10)	2121198712176853577	0 2 30 32 72 74 114 116 144 146	393064598160
STPT(10)	2121198857498825957	0 2 30 32 72 74 114 116 144 146	538386570540
STPT(10)	2121198875586046367	0 2 42 44 72 74 102 104 144 146	556473790950