Prime p₀= 1040146234215540371 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 76 2 28 2

SPT(16)	1040144948321962697	0 2 12 60 74 84 86 144 152 210 212 222 236 284 294 296	-1285893577674
STPT(10)	1040145211786087607	0 2 30 32 72 74 114 116 144 146	-1022429452764
SPT(16)	1040145323560602449	0 14 38 54 98 102 120 168 194 242 260 264 308 324 348 362	-910654937922
STPT(10)	1040145706733572331	0 2 6 8 48 50 90 92 96 98	-527481968040
SPT(16)	1040145984253497607	0 52 72 94 96 106 124 156 160 192 210 220 222 244 264 316	-249962042764
SPT(16)	1040146179279406877	0 2 20 44 62 80 96 146 150 200 216 234 252 276 294 296	-54936133494
STPT(10)	1040146288556991797	0 2 24 26 42 44 60 62 84 86	54341451426
SPT(16)	1040146563047948887	0 40 70 72 76 84 90 112 114 136 142 150 154 156 186 226	328832408516
STPT(10)	1040146648061450981	0 2 6 8 18 20 30 32 36 38	413845910610
TPT(14)	1040146687236011417	0 2 30 32 84 86 192 194 210 212 234 236 240 242	453020471046
STPT(10)	1040146737718713197	0 2 42 44 72 74 102 104 144 146	503503172826