Prime p₀= 1514163458999253911 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: xii5ku
db: batch=78, k=10, 2 28 2 28 2

SPT(16)	1514162993027490853	0 6 10 28 76 84 136 168 256 288 340 348 396 414 418 424	-465971763058
STPT(12)	1514163043521800669	0 2 18 20 30 32 60 62 72 74 90 92	-415477453242
STPT(10)	1514163138023385761	0 2 6 8 18 20 30 32 36 38	-320975868150
SPT(16)	1514163181070004799	0 24 28 42 54 70 78 94 138 154 162 178 190 204 208 232	-277929249112
SPT(16)	1514163232126563857	0 12 26 42 54 62 114 116 180 182 234 242 254 270 284 296	-226872690054
SPT(16)	1514163391239778621	0 6 28 42 70 118 136 156 172 192 210 258 286 300 322 328	-67759475290
SPT(16)	1514163922956358637	0 32 54 90 96 110 122 152 174 204 216 230 236 272 294 326	463957104726
STPT(10)	1514164149038412899	0 2 18 20 30 32 42 44 60 62	690039158988
STPT(10)	1514164664161411859	0 2 42 44 60 62 78 80 120 122	1205162157948
STPT(10)	1514165408851138751	0 2 36 38 78 80 120 122 156 158	1949851884840
STPT(10)	1514165643750592067	0 2 42 44 72 74 102 104 144 146	2184751338156