Prime p₀= 2034916780432976171 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 118 2 190 2 40 2 28 2 28 2 (?)
a_n: 0 2 96 98 216 218 408 410 450 452 480 482 510 512
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: 512
Found by: Orange Kid
db: batch=80, k=14, 94 118 190 40 28 28

SPT(16)	2034915895039441781	0 6 48 80 90 92 132 162 176 206 246 248 258 290 332 338	-885393534390
STPT(10)	2034915957507180887	0 2 12 14 42 44 72 74 84 86	-822925795284
SPT(16)	2034915979305428551	0 22 28 48 148 160 216 238 300 322 378 390 490 510 516 538	-801127547620
SPT(16)	2034916121169920369	0 12 108 110 150 168 182 234 248 300 314 332 372 374 470 482	-659263055802
STPT(10)	2034916429099150697	0 2 60 62 72 74 84 86 144 146	-351333825474
STPT(10)	2034916605490319597	0 2 12 14 72 74 132 134 144 146	-174942656574
SPT(16)	2034916960282770271	0 22 66 142 162 166 196 208 210 222 252 256 276 352 396 418	179849794100
SPT(16)	2034917821132735207	0 22 36 40 70 82 120 142 144 166 204 216 246 250 264 286	1040699759036
STPT(10)	2034918179516093537	0 2 12 14 42 44 72 74 84 86	1399083117366
STPT(10)	2034918299353156541	0 2 36 38 78 80 120 122 156 158	1518920180370
STPT(10)	2034920519788979687	0 2 12 14 72 74 132 134 144 146	3739356003516