Prime p₀= 2034957560247883937 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2034956694345997361	0 2 30 32 60 62 90 92 120 122	-865901886576
SPT(16)	2034956879479059451	0 10 12 58 70 108 112 130 138 156 160 198 210 256 258 268	-680768824486
SPT(16)	2034957048511853093	0 24 26 90 104 110 138 174 200 236 264 270 284 348 350 374	-511736030844
SPT(16)	2034957063119652697	0 4 12 82 130 156 186 210 256 280 310 336 384 454 462 466	-497128231240
STPT(12)	2034957273966783779	0 2 42 44 60 62 72 74 90 92 132 134	-286281100158
SPT(16)	2034957444978275267	0 6 50 86 92 102 116 150 182 216 230 240 246 282 326 332	-115269608670
STPT(10)	2034957683366691929	0 2 18 20 30 32 42 44 60 62	123118807992
SPT(16)	2034957775642640713	0 54 78 96 100 106 144 190 204 250 288 294 298 316 340 394	215394756776
SPT(16)	2034957902738385263	0 18 78 116 140 146 168 170 174 176 198 204 228 266 326 344	342490501326
TPT(14)	2034958040131760531	0 2 30 32 126 128 138 140 186 188 258 260 300 302	479883876594
SPT(16)	2034958337967561887	0 14 66 74 116 150 180 194 222 236 266 300 342 350 402 416	777719677950