Prime p₀= 1303450551681269657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: HenkM
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1303450080486093343	0 4 18 40 60 66 108 150 154 196 238 244 264 286 300 304	-471195176314
STPT(10)	1303450216312352039	0 2 42 44 120 122 198 200 240 242	-335368917618
SPT(16)	1303450303808622869	0 12 32 84 92 102 120 128 144 152 170 180 188 240 260 272	-247872646788
SPT(16)	1303450313611911943	0 76 130 174 186 190 244 280 294 330 384 388 400 444 498 574	-238069357714
TPT(14)	1303450430229614699	0 2 30 32 42 44 48 50 180 182 240 242 282 284	-121451654958
SPT(16)	1303450527364197353	0 26 38 50 98 140 164 168 176 180 204 246 294 306 318 344	-24317072304
SPT(16)	1303450634958909331	0 10 30 60 126 130 156 160 192 196 222 226 292 322 342 352	83277639674
SPT(16)	1303450936585121707	0 40 76 96 174 192 216 270 286 340 364 382 460 480 516 556	384903852050
STPT(10)	1303451314284379199	0 2 42 44 60 62 78 80 120 122	762603109542
SPT(16)	1303451327232954709	0 52 88 108 120 150 160 174 208 222 232 262 274 294 330 382	775551685052
STPT(10)	1303451728703370287	0 2 30 32 42 44 54 56 84 86	1177022100630