Prime p₀= 1354222739480536337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	1354221712159139513	0 26 56 86 98 104 110 128 186 204 210 216 228 258 288 314	-1027321396824
SPT(16)	1354221997026223529	0 44 50 92 98 110 150 152 180 182 222 234 240 282 288 332	-742454312808
STPT(10)	1354222085451727319	0 2 18 20 60 62 102 104 120 122	-654028809018
STPT(10)	1354222260950591519	0 2 48 50 90 92 132 134 180 182	-478529944818
SPT(16)	1354222428092828431	0 30 40 46 48 76 118 142 156 180 222 250 252 258 268 298	-311387707906
SPT(16)	1354222451426168197	0 12 42 70 102 130 132 150 202 220 222 250 282 310 340 352	-288054368140
SPT(16)	1354223030883187807	0 16 30 52 60 70 90 112 114 136 156 166 174 196 210 226	291402651470
TPT(14)	1354223290921912679	0 2 30 32 240 242 288 290 312 314 342 344 450 452	551441376342
SPT(20)	1354223491698807893	0 8 14 44 50 86 126 144 146 170 384 408 410 428 468 504 510 540 546 554	752218271556
STPT(10)	1354223663200528961	0 2 36 38 78 80 120 122 156 158	923719992624
TPT(14)	1354223937629708939	0 2 138 140 222 224 252 254 300 302 330 332 342 344	1198149172602