Prime p₀= 1041368840536742699 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: stoneageman
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1041367468581726799	0 24 58 84 94 102 118 130 132 144 160 168 178 204 238 262	-1371955015900
SPT(16)	1041367482557911981	0 10 42 90 96 108 156 168 190 202 250 262 268 316 348 358	-1357978830718
SPT(16)	1041367718091216739	0 18 60 88 112 144 150 172 240 262 268 300 324 352 394 412	-1122445525960
SPT(16)	1041368171527697287	0 30 60 66 126 136 156 204 262 310 330 340 400 406 436 466	-669009045412
STPT(10)	1041368344463841179	0 2 42 44 60 62 78 80 120 122	-496072901520
SPT(16)	1041368646965485847	0 12 84 92 134 140 144 180 224 260 264 270 312 320 392 404	-193571256852
SPT(16)	1041368999014282249	0 10 100 114 120 124 150 160 198 208 234 238 244 258 348 358	158477539550
STPT(10)	1041369227091674111	0 2 120 122 138 140 156 158 276 278	386554931412
SPT(16)	1041369515480736371	0 12 26 56 90 132 156 198 290 332 356 398 432 462 476 488	674943993672
STPT(10)	1041369737142046997	0 2 24 26 42 44 60 62 84 86	896605304298
STPT(10)	1041369878401184831	0 2 36 38 78 80 120 122 156 158	1037864442132