Prime p₀= 3272500414037267459 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 10 2 34 2 40 2 40 2 34 2 10 2 (?)
a_n: 0 2 12 14 48 50 90 92 132 134 168 170 180 182
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: 182
Found by: paulteo
db: batch=83, k=14, 2 10 2 34 2 40 2

TPT(14)	3272499041105484857	0 2 60 62 84 86 102 104 120 122 240 242 270 272	-1372931782602
SPT(16)	3272499196119573983	0 8 38 44 50 104 114 128 300 314 324 378 384 390 420 428	-1217917693476
SPT(16)	3272499559060061683	0 6 30 40 100 118 124 166 168 210 216 234 294 304 328 334	-854977205776
STPT(10)	3272499797276800301	0 2 30 32 78 80 126 128 156 158	-616760467158
STPT(10)	3272499861378271367	0 2 30 32 42 44 54 56 84 86	-552658996092
SPT(16)	3272499883733296201	0 6 18 88 90 100 108 130 198 220 228 238 240 310 322 328	-530303971258
TPT(14)	3272500414037267459	0 2 12 14 48 50 90 92 132 134 168 170 180 182	0
SPT(16)	3272500942557073519	0 18 22 52 64 138 144 160 222 238 244 318 330 360 364 382	528519806060
SPT(16)	3272501384672180671	0 6 48 52 76 156 168 178 180 190 202 282 306 310 352 358	970634913212
STPT(10)	3272501511255856037	0 2 54 56 72 74 90 92 144 146	1097218588578
STPT(10)	3272501656434583757	0 2 30 32 60 62 90 92 120 122	1242397316298