Prime p₀= 2088430596576488501 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 70 2 28 2 10 2 46 2 (?)
a_n: 0 2 30 32 36 38 108 110 138 140 150 152 198 200
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: 200
Found by: Landjunge
db: batch=80, k=14, 28 4 70 28 10 46

SPT(16)	2088429492799375213	0 4 46 76 78 126 130 166 168 204 208 256 258 288 330 334	-1103777113288
SPT(16)	2088430124664891989	0 18 24 48 78 80 120 150 182 212 252 254 284 308 314 332	-471911596512
STPT(10)	2088430128637246871	0 2 36 38 78 80 120 122 156 158	-467939241630
STPT(10)	2088430250314400747	0 2 60 62 72 74 84 86 144 146	-346262087754
SPT(16)	2088430341588906463	0 30 70 78 96 124 136 148 186 198 210 238 256 264 304 334	-254987582038
STPT(10)	2088430504009717457	0 2 42 44 72 74 102 104 144 146	-92566771044
STPT(10)	2088430675828912367	0 2 30 32 42 44 54 56 84 86	79252423866
STPT(12)	2088430888933400897	0 2 12 14 30 32 54 56 72 74 84 86	292356912396
SPT(16)	2088430942511933869	0 42 84 120 150 168 202 210 232 240 274 292 322 358 400 442	345935445368
SPT(16)	2088431420975799719	0 8 50 72 78 108 134 158 204 228 254 284 290 312 354 362	824399311218
STPT(10)	2088431655287687621	0 2 6 8 18 20 30 32 36 38	1058711199120