Prime p₀= 2111881148187026549 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Euphoriabuzz
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2111879970863318687	0 30 54 72 96 140 170 210 236 276 306 350 374 392 416 446	-1177323707862
SPT(16)	2111880196250343499	0 84 100 102 180 190 204 208 294 298 312 322 400 402 418 502	-951936683050
SPT(16)	2111880400255449479	0 12 60 78 102 108 134 210 242 318 344 350 374 392 440 452	-747931577070
STPT(10)	2111881062929011667	0 2 42 44 72 74 102 104 144 146	-85258014882
SPT(16)	2111881125692233811	0 12 38 56 110 116 128 138 170 180 192 198 252 270 296 308	-22494792738
STPT(10)	2111881137313159151	0 2 30 32 60 62 90 92 120 122	-10873867398
SPT(16)	2111881684482714139	0 28 64 84 90 102 108 120 142 154 160 172 178 198 234 262	536295687590
TPT(14)	2111881922367901967	0 2 84 86 132 134 150 152 162 164 180 182 192 194	774180875418
STPT(10)	2111881968773142989	0 2 78 80 150 152 222 224 300 302	820586116440
STPT(10)	2111882038854939077	0 2 24 26 42 44 60 62 84 86	890667912528
SPT(16)	2111882047362606853	0 24 90 118 126 138 154 196 228 270 286 298 306 334 400 424	899175580304